Cremona's table of elliptic curves

570 = 2 · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	570	Conductor
Count	4	Number of curves in isogeny class
Curves	570g1 570g2 570g3 570g4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0  4  2  2 19+	Hecke eigenvalues for primes less than 20
L	1.9129202434808	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4560x 18240bn 1710h 2850i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 570g

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

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Quadratic twists for isogeny class 570g

-4	8	-3	5	-7	-11	13	-19
4560x	18240bn	1710h	2850i	27930dn	68970e	96330u	10830l

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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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