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	3570n1 3570n2 3570n3 3570n4	Curves in isogeny class
deg	9216	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7-  0 -4 17+  2	Hecke eigenvalues for primes less than 20
L	1.8939145600839	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28560cp 114240t 10710bg 17850bf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3570n

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

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Quadratic twists for isogeny class 3570n

-4	8	-3	5	-7	17
28560cp	114240t	10710bg	17850bf	24990e	60690b

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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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