Cremona's table of elliptic curves

2640 = 2⁴ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	2640h	Isogeny class
Conductor	2640	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	63510480 = 24 · 38 · 5 · 112	Discriminant
Eigenvalues	2+ 3- 5+  2 11- -4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10931,436260]	[a1,a2,a3,a4,a6]
Generators	[64:54:1]	Generators of the group modulo torsion
j	9028656748079104/3969405	j-invariant
L	3.728918945984	L(r)(E,1)/r!
Ω	1.6010281877194	Real period
R	0.58226940890027	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	1320e1 10560bt1 7920m1 13200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640h1

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	-	-4	-4	-8	-4	2	-8	-2	-2	6	-12	6	12	10	-16	0	4	-12	6	6	14

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Quadratic twists for elliptic curve 2640h1

-4	8	-3	5	-7	-11
1320e1	10560bt1	7920m1	13200j1	129360bu1	29040ba1

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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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