Cremona's table of elliptic curves

7605 = 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	7605q	Isogeny class
Conductor	7605	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-757351904751288405 = -1 · 322 · 5 · 136	Discriminant
Eigenvalues	-1 3- 5-  0 -4 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-167342,49512714]	[a1,a2,a3,a4,a6]
Generators	[1302:40581:8]	Generators of the group modulo torsion
j	-147281603041/215233605	j-invariant
L	2.5920412169462	L(r)(E,1)/r!
Ω	0.25560332005569	Real period
R	5.0704373017952	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	121680en7 2535a8 38025bc7 45a8	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7605q8

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

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Quadratic twists for elliptic curve 7605q8

-4	-3	5	13
121680en7	2535a8	38025bc7	45a8

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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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