Cremona's table of elliptic curves

8470 = 2 · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	8470	Conductor
Count	4	Number of curves in isogeny class
Curves	8470f1 8470f2 8470f3 8470f4	Curves in isogeny class
deg	69120	Modular degree for the optimal curve
Eigenvalues	2+ -2 5+ 7+ 11-  4  0  4	Hecke eigenvalues for primes less than 20
L	0.74504354556738	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	67760bt 76230en 42350cq 59290cd	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8470f

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

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Quadratic twists for isogeny class 8470f

-4	-3	5	-7	-11
67760bt	76230en	42350cq	59290cd	770f

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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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