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	2640j	Isogeny class
Conductor	2640	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	696960000 = 210 · 32 · 54 · 112	Discriminant
Eigenvalues	2+ 3- 5+ -4 11-  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-296,-1596]	[a1,a2,a3,a4,a6]
Generators	[-8:18:1]	Generators of the group modulo torsion
j	2810381476/680625	j-invariant
L	3.3822630529337	L(r)(E,1)/r!
Ω	1.1709641370273	Real period
R	1.444221452213	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1320f2 10560bw2 7920p2 13200l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640j2

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

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Quadratic twists for elliptic curve 2640j2

-4	8	-3	5	-7	-11
1320f2	10560bw2	7920p2	13200l2	129360bp2	29040bd2

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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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