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	128	Product of Tamagawa factors cp
Δ	-46189440000 = -1 · 210 · 38 · 54 · 11	Discriminant
Eigenvalues	2+ 3- 5- -4 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-440,10788]	[a1,a2,a3,a4,a6]
Generators	[-14:120:1]	Generators of the group modulo torsion
j	-9220796644/45106875	j-invariant
L	3.6702968923315	L(r)(E,1)/r!
Ω	0.98461389975019	Real period
R	0.46595636285233	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	1320j4 10560bq4 7920j4 13200g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640l4

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 2640l4

-4	8	-3	5	-7	-11
1320j4	10560bq4	7920j4	13200g4	129360j3	29040bp3

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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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