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	2535a	Isogeny class
Conductor	2535	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1954857645 = 34 · 5 · 136	Discriminant
Eigenvalues	1 3+ 5+  0  4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-365043,-85043772]	[a1,a2,a3,a4,a6]
Generators	[48525742572:-1372098468433:42144192]	Generators of the group modulo torsion
j	1114544804970241/405	j-invariant
L	3.1956681160408	L(r)(E,1)/r!
Ω	0.19422869560389	Real period
R	16.453120410993	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	40560ca8 7605q7 12675x7 124215cv8	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2535a7

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 2535a7

-4	-3	5	-7	13
40560ca8	7605q7	12675x7	124215cv8	15a5

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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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