Cremona's table of elliptic curves

2535 = 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	3+ 5- 13-	Signs for the Atkin-Lehner involutions
Class	2535d	Isogeny class
Conductor	2535	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-7414875 = -1 · 33 · 53 · 133	Discriminant
Eigenvalues	0 3+ 5- -3  3 13- -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,35,93]	[a1,a2,a3,a4,a6]
Generators	[9:32:1]	Generators of the group modulo torsion
j	2097152/3375	j-invariant
L	2.2763014081554	L(r)(E,1)/r!
Ω	1.6031083428314	Real period
R	0.23665497701536	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	40560db1 7605m1 12675bc1 124215cj1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2535d1

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 2535d1

-4	-3	5	-7	13
40560db1	7605m1	12675bc1	124215cj1	2535c1

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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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