Cremona's table of elliptic curves

1513 = 17 · 89

Field	Data	Notes
Atkin-Lehner	17- 89+	Signs for the Atkin-Lehner involutions
Conductor	1513	Conductor
Count	2	Number of curves in isogeny class
Curves	1513a1 1513a2	Curves in isogeny class
deg	312	Modular degree for the optimal curve
Eigenvalues	-1  2  2  2  4  2 17-  4	Hecke eigenvalues for primes less than 20
L	2.1343660376155	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	24208h 96832h 13617d 37825a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1513a

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
-1	2	2	2	4	2	-	4	-2	0	-6	4	0	8	0	-6	-8	0	-12	8	10	0	12	+	6

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Quadratic twists for isogeny class 1513a

-4	8	-3	5	-7	17
24208h	96832h	13617d	37825a	74137a	25721d

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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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