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	3570i	Isogeny class
Conductor	3570	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2609328690805052160 = -1 · 28 · 320 · 5 · 7 · 174	Discriminant
Eigenvalues	2+ 3+ 5- 7- -4 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-307737,101644389]	[a1,a2,a3,a4,a6]
j	-3223035316613162194201/2609328690805052160	j-invariant
L	0.94040448503946	L(r)(E,1)/r!
Ω	0.23510112125986	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	28560dt3 114240dv3 10710bd4 17850bs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3570i4

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
+	+	-	-	-4	-2	-	0	-4	-2	0	2	-6	8	8	2	12	-6	8	0	2	16	4	-10	2

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Quadratic twists for elliptic curve 3570i4

-4	8	-3	5	-7	17
28560dt3	114240dv3	10710bd4	17850bs4	24990w3	60690r3

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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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