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	2640k	Isogeny class
Conductor	2640	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-570240000 = -1 · 210 · 34 · 54 · 11	Discriminant
Eigenvalues	2+ 3- 5-  0 11+ -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,160,900]	[a1,a2,a3,a4,a6]
Generators	[-2:24:1]	Generators of the group modulo torsion
j	439608956/556875	j-invariant
L	3.8809396355696	L(r)(E,1)/r!
Ω	1.0987237640177	Real period
R	0.88305627007154	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	1320b4 10560bn4 7920h4 13200b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640k4

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

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Quadratic twists for elliptic curve 2640k4

-4	8	-3	5	-7	-11
1320b4	10560bn4	7920h4	13200b4	129360r3	29040bi3

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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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