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	2640l	Isogeny class
Conductor	2640	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	62726400 = 28 · 34 · 52 · 112	Discriminant
Eigenvalues	2+ 3- 5- -4 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-660,6300]	[a1,a2,a3,a4,a6]
Generators	[3:66:1]	Generators of the group modulo torsion
j	124386546256/245025	j-invariant
L	3.6702968923315	L(r)(E,1)/r!
Ω	1.9692277995004	Real period
R	0.93191272570465	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1320j2 10560bq2 7920j2 13200g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640l2

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

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Quadratic twists for elliptic curve 2640l2

-4	8	-3	5	-7	-11
1320j2	10560bq2	7920j2	13200g2	129360j2	29040bp2

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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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