Cremona's table of elliptic curves

5797 = 11 · 17 · 31

Field	Data	Notes
Atkin-Lehner	11- 17- 31+	Signs for the Atkin-Lehner involutions
Class	5797c	Isogeny class
Conductor	5797	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	701437 = 113 · 17 · 31	Discriminant
Eigenvalues	2  1  0 -1 11-  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-188,931]	[a1,a2,a3,a4,a6]
Generators	[58:7:8]	Generators of the group modulo torsion
j	738763264000/701437	j-invariant
L	8.3247735344466	L(r)(E,1)/r!
Ω	2.8443576441014	Real period
R	0.97558916939886	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	92752k1 52173e1 63767b1 98549d1	Quadratic twists by: -4 -3 -11 17

Hecke Eigenvalues for elliptic curve 5797c1

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	1	0	-1	-	2	-	-4	-1	-8	+	-2	-3	9	9	-12	-9	-4	9	6	4	8	-7	14	6

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Quadratic twists for elliptic curve 5797c1

-4	-3	-11	17
92752k1	52173e1	63767b1	98549d1

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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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