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	3570k	Isogeny class
Conductor	3570	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	638680075740 = 22 · 33 · 5 · 72 · 176	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -4 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2164,-4858]	[a1,a2,a3,a4,a6]
j	1119971462469049/638680075740	j-invariant
L	1.5147867441378	L(r)(E,1)/r!
Ω	0.7573933720689	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	28560ci2 114240cj2 10710bk2 17850bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570k2

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	-4	-	2	6	0	-4	-4	6	-4	6	6	0	2	-4	12	2	2	-6	12	14

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Quadratic twists for elliptic curve 3570k2

-4	8	-3	5	-7	17
28560ci2	114240cj2	10710bk2	17850bb2	24990k2	60690m2

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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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