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	2535l	Isogeny class
Conductor	2535	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-114075 = -1 · 33 · 52 · 132	Discriminant
Eigenvalues	-2 3- 5- -5 -2 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-30,56]	[a1,a2,a3,a4,a6]
Generators	[0:7:1]	Generators of the group modulo torsion
j	-18264064/675	j-invariant
L	1.8358035442002	L(r)(E,1)/r!
Ω	3.3058610002882	Real period
R	0.092552971023292	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	40560bw1 7605l1 12675l1 124215n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2535l1

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 2535l1

-4	-3	5	-7	13
40560bw1	7605l1	12675l1	124215n1	2535g1

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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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