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	570i1 570i2 570i3 570i4	Curves in isogeny class
deg	960	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  4  0 -6  2 19-	Hecke eigenvalues for primes less than 20
L	2.2660609606948	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4560bc 18240bd 1710g 2850l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 570i

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
-	+	-	4	0	-6	2	-	8	2	-8	10	6	-8	0	-2	-12	-2	-12	-8	2	-16	-4	6	-10

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Quadratic twists for isogeny class 570i

-4	8	-3	5	-7	-11	13	-19
4560bc	18240bd	1710g	2850l	27930cw	68970o	96330c	10830p

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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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