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	192	Product of Tamagawa factors cp
Δ	2.2308136150273E+20	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-13299866,-18656185104]	[a1,a2,a3,a4,a6]
j	260174968233082037895439009/223081361502731896500	j-invariant
L	3.7949086860413	L(r)(E,1)/r!
Ω	0.079060597625861	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28560cd7 114240cc7 10710l8 17850b7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570v7

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 3570v7

-4	8	-3	5	-7	17
28560cd7	114240cc7	10710l8	17850b7	24990bs7	60690bm7

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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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