Cremona's table of elliptic curves

8710 = 2 · 5 · 13 · 67

Field	Data	Notes
Atkin-Lehner	2+ 5- 13- 67-	Signs for the Atkin-Lehner involutions
Conductor	8710	Conductor
Count	3	Number of curves in isogeny class
Curves	8710h1 8710h2 8710h3	Curves in isogeny class
deg	10368	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- -1 -6 13-  0 -7	Hecke eigenvalues for primes less than 20
L	3.3344927153132	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	69680be 78390bs 43550p 113230q	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 8710h

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	-6	-	0	-7	-9	3	-4	-7	-3	-10	6	-9	-9	8	-	-3	-7	-1	0	6	-10

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Quadratic twists for isogeny class 8710h

-4	-3	5	13
69680be	78390bs	43550p	113230q

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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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