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
Class	3570v	Isogeny class
Conductor	3570	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	5.750515731944E+19	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1017366,-151370604]	[a1,a2,a3,a4,a6]
j	116454264690812369959009/57505157319440250000	j-invariant
L	3.7949086860413	L(r)(E,1)/r!
Ω	0.15812119525172	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	28560cd6 114240cc6 10710l6 17850b6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570v6

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 elliptic curve 3570v6

-4	8	-3	5	-7	17
28560cd6	114240cc6	10710l6	17850b6	24990bs6	60690bm6

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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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