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	3570a	Isogeny class
Conductor	3570	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8515734343200 = 25 · 32 · 52 · 72 · 176	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  2  4 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-37683,-2827827]	[a1,a2,a3,a4,a6]
Generators	[-111:108:1]	Generators of the group modulo torsion
j	5918043195362419129/8515734343200	j-invariant
L	2.072739029983	L(r)(E,1)/r!
Ω	0.34268825195626	Real period
R	1.5121170759069	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28560dk2 114240ed2 10710bj2 17850cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570a2

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
+	+	+	+	2	4	+	-6	4	-8	-8	-4	10	-4	4	10	10	6	0	-12	6	-8	14	-10	2

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Quadratic twists for elliptic curve 3570a2

-4	8	-3	5	-7	17
28560dk2	114240ed2	10710bj2	17850cd2	24990bi2	60690be2

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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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