Cremona's table of elliptic curves

8670 = 2 · 3 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	8670	Conductor
Count	4	Number of curves in isogeny class
Curves	8670bb1 8670bb2 8670bb3 8670bb4	Curves in isogeny class
deg	55296	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  4  4 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	6.1802401459439	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	69360cy 26010o 43350n 510d	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for isogeny class 8670bb

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
-	-	-	4	4	-2	+	-4	4	-2	-4	6	-2	-12	8	-2	12	-2	4	4	14	12	-4	10	-18

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Quadratic twists for isogeny class 8670bb

-4	-3	5	17
69360cy	26010o	43350n	510d

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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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