Cremona's table of elliptic curves

2639 = 7 · 13 · 29

Field	Data	Notes
Atkin-Lehner	7- 13- 29-	Signs for the Atkin-Lehner involutions
Conductor	2639	Conductor
Count	1	Number of curves in isogeny class
Curves	2639a1	Curves in isogeny class
deg	672	Modular degree for the optimal curve
Eigenvalues	2  3  0 7-  0 13-  2  3	Hecke eigenvalues for primes less than 20
L	7.3617849233816	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	42224k 23751f 65975e 18473b	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2639a

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	3	0	-	0	-	2	3	1	-	-4	12	-9	4	-9	1	4	-2	-15	-15	9	10	4	-3	5

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Quadratic twists for isogeny class 2639a

-4	-3	5	-7	13	29
42224k	23751f	65975e	18473b	34307g	76531c

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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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