Cremona's table of elliptic curves

2470 = 2 · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 13- 19-	Signs for the Atkin-Lehner involutions
Conductor	2470	Conductor
Count	2	Number of curves in isogeny class
Curves	2470e1 2470e2	Curves in isogeny class
deg	3840	Modular degree for the optimal curve
Eigenvalues	2-  0 5+ -2 -4 13-  6 19-	Hecke eigenvalues for primes less than 20
L	2.1036987256907	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19760p 79040r 22230u 12350c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2470e

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

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Quadratic twists for isogeny class 2470e

-4	8	-3	5	-7	13	-19
19760p	79040r	22230u	12350c	121030bc	32110n	46930g

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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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