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	2640m	Isogeny class
Conductor	2640	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	53336609187840 = 211 · 316 · 5 · 112	Discriminant
Eigenvalues	2+ 3- 5-  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28000,1759508]	[a1,a2,a3,a4,a6]
j	1185450336504002/26043266205	j-invariant
L	2.5195928984278	L(r)(E,1)/r!
Ω	0.62989822460694	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1320h5 10560bh5 7920d5 13200h5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640m5

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

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Quadratic twists for elliptic curve 2640m5

-4	8	-3	5	-7	-11
1320h5	10560bh5	7920d5	13200h5	129360y6	29040bg6

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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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