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	7605t	Isogeny class
Conductor	7605	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	59904	Modular degree for the optimal curve
Δ	-401400694536075 = -1 · 39 · 52 · 138	Discriminant
Eigenvalues	-2 3- 5-  5 -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-46137,-3934278]	[a1,a2,a3,a4,a6]
Generators	[287:2542:1]	Generators of the group modulo torsion
j	-18264064/675	j-invariant
L	2.6766545088465	L(r)(E,1)/r!
Ω	0.16252342098388	Real period
R	4.1173365854635	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	121680fl1 2535g1 38025bo1 7605l1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7605t1

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	-	-	5	-2	+	-2	0	-6	4	-7	-2	-6	1	8	4	-12	-13	-7	-12	15	3	-8	-14	-5

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Quadratic twists for elliptic curve 7605t1

-4	-3	5	13
121680fl1	2535g1	38025bo1	7605l1

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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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