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	2640q	Isogeny class
Conductor	2640	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-131702096486400 = -1 · 213 · 3 · 52 · 118	Discriminant
Eigenvalues	2- 3+ 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,7920,478272]	[a1,a2,a3,a4,a6]
j	13411719834479/32153832150	j-invariant
L	1.6308663362907	L(r)(E,1)/r!
Ω	0.40771658407268	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	330b6 10560cb6 7920z6 13200cg6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640q6

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	2	4	0	-2	0	-2	2	12	-8	6	12	6	-4	0	-6	16	-4	10	2

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Quadratic twists for elliptic curve 2640q6

-4	8	-3	5	-7	-11
330b6	10560cb6	7920z6	13200cg6	129360gl5	29040co5

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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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