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	2640i	Isogeny class
Conductor	2640	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5702400 = -1 · 28 · 34 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5+ -2 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,44,44]	[a1,a2,a3,a4,a6]
Generators	[2:12:1]	Generators of the group modulo torsion
j	35969456/22275	j-invariant
L	3.4652832434352	L(r)(E,1)/r!
Ω	1.4849046718382	Real period
R	0.58341846940676	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	1320a2 10560bu2 7920o2 13200i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640i2

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	0	4	-4	6	8	-10	-6	-6	-12	-10	-4	-14	8	8	-4	0	14	-18	-10

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Quadratic twists for elliptic curve 2640i2

-4	8	-3	5	-7	-11
1320a2	10560bu2	7920o2	13200i2	129360bs2	29040y2

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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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