Cremona's table of elliptic curves

3570 = 2 · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	3570	Conductor
Count	4	Number of curves in isogeny class
Curves	3570s1 3570s2 3570s3 3570s4	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7-  0 -2 17+ -8	Hecke eigenvalues for primes less than 20
L	4.2528332597144	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	28560df 114240eo 10710n 17850r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3570s

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

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Quadratic twists for isogeny class 3570s

-4	8	-3	5	-7	17
28560df	114240eo	10710n	17850r	24990cg	60690cb

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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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