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	32	Product of Tamagawa factors cp
Δ	1161600000000 = 213 · 3 · 58 · 112	Discriminant
Eigenvalues	2- 3+ 5-  0 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-62160,5985600]	[a1,a2,a3,a4,a6]
j	6484907238722641/283593750	j-invariant
L	1.6308663362907	L(r)(E,1)/r!
Ω	0.81543316814536	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	330b5 10560cb5 7920z5 13200cg5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640q5

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 2640q5

-4	8	-3	5	-7	-11
330b5	10560cb5	7920z5	13200cg5	129360gl6	29040co6

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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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