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	2640t	Isogeny class
Conductor	2640	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2323200 = 28 · 3 · 52 · 112	Discriminant
Eigenvalues	2- 3- 5+  2 11-  2  8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-396,2904]	[a1,a2,a3,a4,a6]
j	26894628304/9075	j-invariant
L	2.5377454531495	L(r)(E,1)/r!
Ω	2.5377454531495	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	660a2 10560bs2 7920bg2 13200bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2640t2

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
-	-	+	2	-	2	8	2	-8	0	0	2	0	-6	-8	6	4	10	12	-8	10	14	-4	10	-18

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Quadratic twists for elliptic curve 2640t2

-4	8	-3	5	-7	-11
660a2	10560bs2	7920bg2	13200bs2	129360fq2	29040cy2

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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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