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	17808q	Isogeny class
Conductor	17808	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	20295991296 = 214 · 32 · 72 · 532	Discriminant
Eigenvalues	2- 3+  2 7-  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-712,2800]	[a1,a2,a3,a4,a6]
Generators	[-3:70:1]	Generators of the group modulo torsion
j	9759185353/4955076	j-invariant
L	5.1838919164301	L(r)(E,1)/r!
Ω	1.0734265476895	Real period
R	2.4146467811831	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2226e2 71232dj2 53424bx2 124656dn2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17808q2

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
-	+	2	-	0	2	2	-4	0	-6	-8	-2	10	4	0	+	-12	2	12	-8	14	-12	12	-6	2

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Quadratic twists for elliptic curve 17808q2

-4	8	-3	-7
2226e2	71232dj2	53424bx2	124656dn2

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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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