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	8	Number of curves in isogeny class
Curves	8670e1 8670e2 8670e3 8670e4 8670e5 8670e6 8670e7 8670e8	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  4  0  2 17+ -4	Hecke eigenvalues for primes less than 20
L	1.6259337322892	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	69360du 26010bm 43350dd 30a	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for isogeny class 8670e

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

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Quadratic twists for isogeny class 8670e

-4	-3	5	17
69360du	26010bm	43350dd	30a

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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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