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	96	Product of Tamagawa factors cp
Δ	-947901937500000000 = -1 · 28 · 32 · 512 · 73 · 173	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,232634,-18120604]	[a1,a2,a3,a4,a6]
j	1392333139184610040991/947901937500000000	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	2	Number of elements in the torsion subgroup
Twists	28560cd3 114240cc3 10710l3 17850b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570v3

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 3570v3

-4	8	-3	5	-7	17
28560cd3	114240cc3	10710l3	17850b3	24990bs3	60690bm3

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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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