Cremona's table of elliptic curves

2496 = 2⁶ · 3 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	2496ba	Isogeny class
Conductor	2496	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	20247552 = 210 · 32 · 133	Discriminant
Eigenvalues	2- 3-  0 -2  0 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2933,60171]	[a1,a2,a3,a4,a6]
Generators	[19:108:1]	Generators of the group modulo torsion
j	2725888000000/19773	j-invariant
L	3.5741520120113	L(r)(E,1)/r!
Ω	1.9350374183052	Real period
R	1.8470712649793	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	2496a3 624g3 7488bp3 62400ex3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2496ba3

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	-2	0	+	-6	2	0	6	-2	-2	-12	-4	0	-6	12	-2	-10	-12	14	-8	12	0	-10

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Quadratic twists for elliptic curve 2496ba3

-4	8	-3	5	-7	13
2496a3	624g3	7488bp3	62400ex3	122304fw3	32448cy3

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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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