Cremona's table of elliptic curves

7595 = 5 · 7² · 31

Field	Data	Notes
Atkin-Lehner	5- 7- 31+	Signs for the Atkin-Lehner involutions
Class	7595h	Isogeny class
Conductor	7595	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	565303445 = 5 · 76 · 312	Discriminant
Eigenvalues	-1 -2 5- 7-  4  0  8 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1275,17380]	[a1,a2,a3,a4,a6]
Generators	[12:56:1]	Generators of the group modulo torsion
j	1948441249/4805	j-invariant
L	2.0784576103883	L(r)(E,1)/r!
Ω	1.6419734878112	Real period
R	1.2658289709409	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121520cz2 68355m2 37975a2 155b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7595h2

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	-2	-	-	4	0	8	-4	2	-6	+	-4	6	-6	-8	-12	4	-10	8	0	4	0	-2	-14	18

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Quadratic twists for elliptic curve 7595h2

-4	-3	5	-7
121520cz2	68355m2	37975a2	155b2

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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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