Cremona's table of elliptic curves

13065 = 3 · 5 · 13 · 67

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+ 67+	Signs for the Atkin-Lehner involutions
Conductor	13065	Conductor
Count	4	Number of curves in isogeny class
Curves	13065a1 13065a2 13065a3 13065a4	Curves in isogeny class
deg	39744	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+  0  0 13+  2  4	Hecke eigenvalues for primes less than 20
L	4.0683234546735	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	39195p 65325t	Quadratic twists by: -3 5

Hecke Eigenvalues for isogeny class 13065a

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

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Quadratic twists for isogeny class 13065a

-3	5
39195p	65325t

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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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