Cremona's table of elliptic curves

1717 = 17 · 101

Field	Data	Notes
Atkin-Lehner	17- 101+	Signs for the Atkin-Lehner involutions
Conductor	1717	Conductor
Count	1	Number of curves in isogeny class
Curves	1717b1	Curves in isogeny class
deg	104	Modular degree for the optimal curve
Eigenvalues	-2 -1 -2 -1 -3 -5 17- -3	Hecke eigenvalues for primes less than 20
L	1.5015109202792	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	27472k 109888k 15453e 42925b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1717b

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
-2	-1	-2	-1	-3	-5	-	-3	-6	-2	2	-8	2	-7	-12	8	-12	-6	12	-4	-11	-6	14	-6	-8

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Quadratic twists for isogeny class 1717b

-4	8	-3	5	-7	17
27472k	109888k	15453e	42925b	84133b	29189b

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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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