Cremona's table of elliptic curves

8715 = 3 · 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 83-	Signs for the Atkin-Lehner involutions
Conductor	8715	Conductor
Count	4	Number of curves in isogeny class
Curves	8715d1 8715d2 8715d3 8715d4	Curves in isogeny class
deg	211968	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+ 7-  4 -2 -6  8	Hecke eigenvalues for primes less than 20
L	4.1506941505661	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	26145p 43575m 61005w	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 8715d

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

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Quadratic twists for isogeny class 8715d

-3	5	-7
26145p	43575m	61005w

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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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