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
Conductor	2640	Conductor
Count	4	Number of curves in isogeny class
Curves	2640p1 2640p2 2640p3 2640p4	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  4 11- -4 -6 -2	Hecke eigenvalues for primes less than 20
L	2.8939541934702	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	660c 10560cj 7920bh 13200cm	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2640p

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 isogeny class 2640p

-4	8	-3	5	-7	-11
660c	10560cj	7920bh	13200cm	129360if	29040ci

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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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