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	17808p	Isogeny class
Conductor	17808	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	-38417412096 = -1 · 212 · 32 · 7 · 533	Discriminant
Eigenvalues	2- 3+  1 7- -1  4  0 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1125,-16947]	[a1,a2,a3,a4,a6]
Generators	[954:9897:8]	Generators of the group modulo torsion
j	-38477541376/9379251	j-invariant
L	4.6967574348963	L(r)(E,1)/r!
Ω	0.40691004980994	Real period
R	5.7712477697345	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	1113e1 71232di1 53424bs1 124656dm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17808p1

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
-	+	1	-	-1	4	0	-7	-6	7	3	-3	-7	4	12	+	12	-11	2	-6	6	4	-3	-8	6

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Quadratic twists for elliptic curve 17808p1

-4	8	-3	-7
1113e1	71232di1	53424bs1	124656dm1

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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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