Cremona's table of elliptic curves

10710 = 2 · 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Conductor	10710	Conductor
Count	8	Number of curves in isogeny class
Curves	10710l1 10710l2 10710l3 10710l4 10710l5 10710l6 10710l7 10710l8	Curves in isogeny class
deg	147456	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7-  0  2 17- -4	Hecke eigenvalues for primes less than 20
L	3.8042056209952	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	85680fd 3570v 53550dj 74970q	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 10710l

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
+	-	-	-	0	2	-	-4	0	-6	8	2	-6	-4	-12	-6	-12	2	-4	12	-10	-4	0	6	14

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Quadratic twists for isogeny class 10710l

-4	-3	5	-7
85680fd	3570v	53550dj	74970q

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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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