Cremona's table of elliptic curves

130 = 2 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	130	Conductor
Count	4	Number of curves in isogeny class
Curves	130a1 130a2 130a3 130a4	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- -4 -6 13- -6  2	Hecke eigenvalues for primes less than 20
L	0.73821739879204	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1040g 4160b 1170l 650j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 130a

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	-	-4	-6	-	-6	2	6	-6	2	2	-6	2	-12	6	6	2	-4	-6	-10	-4	0	-6	2

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Quadratic twists for isogeny class 130a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1040g	4160b	1170l	650j	6370c	15730y	1690f	37570b	46930bh	68770d	109330ba	124930e

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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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