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	576	Product of Tamagawa factors cp
Δ	3688936444974392640 = 26 · 324 · 5 · 74 · 17	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-571526,138219300]	[a1,a2,a3,a4,a6]
j	20645800966247918737249/3688936444974392640	j-invariant
L	3.7949086860413	L(r)(E,1)/r!
Ω	0.23718179287758	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	28560cd4 114240cc4 10710l5 17850b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570v4

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 3570v4

-4	8	-3	5	-7	17
28560cd4	114240cc4	10710l5	17850b4	24990bs4	60690bm4

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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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