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	7605u	Isogeny class
Conductor	7605	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	44928	Modular degree for the optimal curve
Δ	-26091045144844875 = -1 · 39 · 53 · 139	Discriminant
Eigenvalues	0 3- 5-  3  3 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,52728,-6219158]	[a1,a2,a3,a4,a6]
j	2097152/3375	j-invariant
L	2.3810049816128	L(r)(E,1)/r!
Ω	0.19841708180107	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121680fs1 2535c1 38025bx1 7605m1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7605u1

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
0	-	-	3	3	-	3	0	-3	6	6	-9	3	10	12	3	-12	1	0	-9	6	1	-6	-15	9

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Quadratic twists for elliptic curve 7605u1

-4	-3	5	13
121680fs1	2535c1	38025bx1	7605m1

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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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