Cremona's table of elliptic curves

17808 = 2⁴ · 3 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 53-	Signs for the Atkin-Lehner involutions
Class	17808g	Isogeny class
Conductor	17808	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	7787520	Modular degree for the optimal curve
Δ	-1.3917166331405E+24	Discriminant
Eigenvalues	2+ 3+  3 7- -3  4 -4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1656696529,-25954003279043]	[a1,a2,a3,a4,a6]
Generators	[164285994425202165772:537633980561366467156539:15339877093423]	Generators of the group modulo torsion
j	-1964321789317697989075215127552/5436393098205250433259	j-invariant
L	5.4089672324552	L(r)(E,1)/r!
Ω	0.011832015946086	Real period
R	25.397039773281	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8904j1 71232dh1 53424n1 124656bq1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17808g1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	3	-	-3	4	-4	-3	4	-1	-1	5	-9	-12	8	-	-10	-1	-2	-14	6	-8	1	18	-8

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Quadratic twists for elliptic curve 17808g1

-4	8	-3	-7
8904j1	71232dh1	53424n1	124656bq1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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