Cremona's table of elliptic curves

7935 = 3 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	3- 5- 23-	Signs for the Atkin-Lehner involutions
Class	7935k	Isogeny class
Conductor	7935	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3990029820703125 = 3 · 58 · 237	Discriminant
Eigenvalues	-1 3- 5- -4  4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-201560,-34714053]	[a1,a2,a3,a4,a6]
j	6117442271569/26953125	j-invariant
L	0.90151628786893	L(r)(E,1)/r!
Ω	0.22537907196723	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	126960cg3 23805m3 39675h3 345d4	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 7935k3

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

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Quadratic twists for elliptic curve 7935k3

-4	-3	5	-23
126960cg3	23805m3	39675h3	345d4

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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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