Cremona's table of elliptic curves

361 = 19²

Field	Data	Notes
Atkin-Lehner	19+	Signs for the Atkin-Lehner involutions
Conductor	361	Conductor
Count	2	Number of curves in isogeny class
Curves	361a1 361a2	Curves in isogeny class
deg	20	Modular degree for the optimal curve
Eigenvalues	0  0 -1  3 -5  0 -7 19+	Hecke eigenvalues for primes less than 20
L	1.5194236564427	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5776g 23104a 3249a 9025a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 361a

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	-1	3	-5	0	-7	+	-4	0	0	0	0	-1	13	0	0	15	0	0	-11	0	-16	0	0

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Quadratic twists for isogeny class 361a

-4	8	-3	5	-7	-11	13	17	-19
5776g	23104a	3249a	9025a	17689d	43681h	61009a	104329a	361a

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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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