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	2496bb	Isogeny class
Conductor	2496	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-5615321088 = -1 · 216 · 3 · 134	Discriminant
Eigenvalues	2- 3- -2  0  0 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,31,3615]	[a1,a2,a3,a4,a6]
Generators	[-6:57:1]	Generators of the group modulo torsion
j	48668/85683	j-invariant
L	3.3935112645504	L(r)(E,1)/r!
Ω	1.0598815534584	Real period
R	3.2017834950305	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	2496c4 624c4 7488br4 62400en3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2496bb4

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	0	0	+	2	-4	0	-6	0	2	6	-12	4	-6	-8	2	4	12	-14	0	8	-18	-6

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Quadratic twists for elliptic curve 2496bb4

-4	8	-3	5	-7	13
2496c4	624c4	7488br4	62400en3	122304ga3	32448da3

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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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