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	2640p	Isogeny class
Conductor	2640	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-2994750000 = -1 · 24 · 32 · 56 · 113	Discriminant
Eigenvalues	2- 3+ 5+  4 11- -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,319,1356]	[a1,a2,a3,a4,a6]
Generators	[8:66:1]	Generators of the group modulo torsion
j	223673040896/187171875	j-invariant
L	2.8939541934702	L(r)(E,1)/r!
Ω	0.92283369901029	Real period
R	1.0453144470753	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	660c3 10560cj3 7920bh3 13200cm3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640p3

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

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Quadratic twists for elliptic curve 2640p3

-4	8	-3	5	-7	-11
660c3	10560cj3	7920bh3	13200cm3	129360if3	29040ci3

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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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