Cremona's table of elliptic curves

195 = 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	3- 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	195	Conductor
Count	8	Number of curves in isogeny class
Curves	195a1 195a2 195a3 195a4 195a5 195a6 195a7 195a8	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	-1 3- 5-  0  4 13-  2 -4	Hecke eigenvalues for primes less than 20
L	1.0057121353225	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3120r 12480a 585f 975a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 195a

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	4	-	2	-4	8	-2	-8	6	-6	-4	-8	6	-12	-2	-4	0	-6	16	-4	10	18

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Quadratic twists for isogeny class 195a

-4	8	-3	5	-7	-11	13	17	-19	-23
3120r	12480a	585f	975a	9555e	23595n	2535f	56355b	70395g	103155h

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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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