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	7595g	Isogeny class
Conductor	7595	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3957124115 = 5 · 77 · 312	Discriminant
Eigenvalues	-1  2 5- 7- -2  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9115,-338738]	[a1,a2,a3,a4,a6]
Generators	[60285:2816597:27]	Generators of the group modulo torsion
j	711882749089/33635	j-invariant
L	3.9024633204681	L(r)(E,1)/r!
Ω	0.48860889562178	Real period
R	7.9868855344969	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	121520db2 68355k2 37975b2 1085c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7595g2

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	-	-	-2	2	-2	-4	0	10	+	-4	-2	-4	0	-8	4	8	-12	-12	10	10	6	-16	-2

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Quadratic twists for elliptic curve 7595g2

-4	-3	5	-7
121520db2	68355k2	37975b2	1085c2

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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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