Cremona's table of elliptic curves

520 = 2³ · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	520	Conductor
Count	4	Number of curves in isogeny class
Curves	520a1 520a2 520a3 520a4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+  0 5+  0 -4 13+ -6  4	Hecke eigenvalues for primes less than 20
L	1.8629119108572	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1040a 4160d 4680s 2600j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 520a

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	+	0	-4	+	-6	4	0	-2	-4	-6	-6	8	0	2	4	-10	12	-4	14	-16	12	2	-2

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Quadratic twists for isogeny class 520a

-4	8	-3	5	-7	-11	13
1040a	4160d	4680s	2600j	25480f	62920q	6760i

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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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