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	256	Product of Tamagawa factors cp
Δ	2459125785600 = 210 · 38 · 52 · 114	Discriminant
Eigenvalues	2+ 3- 5-  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3800,-50652]	[a1,a2,a3,a4,a6]
j	5927735656804/2401490025	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	8	Number of elements in the torsion subgroup
Twists	1320h3 10560bh4 7920d3 13200h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640m4

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 2640m4

-4	8	-3	5	-7	-11
1320h3	10560bh4	7920d3	13200h4	129360y3	29040bg3

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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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