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	3570s	Isogeny class
Conductor	3570	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	282362258900400 = 24 · 3 · 52 · 712 · 17	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0 -2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-111251,-14305951]	[a1,a2,a3,a4,a6]
Generators	[-187:142:1]	Generators of the group modulo torsion
j	152277495831664137649/282362258900400	j-invariant
L	4.2528332597144	L(r)(E,1)/r!
Ω	0.26143993569631	Real period
R	0.67779004515694	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	28560df4 114240eo4 10710n4 17850r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570s3

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

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Quadratic twists for elliptic curve 3570s3

-4	8	-3	5	-7	17
28560df4	114240eo4	10710n4	17850r3	24990cg4	60690cb4

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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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