Cremona's table of elliptic curves

9570 = 2 · 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+ 29+	Signs for the Atkin-Lehner involutions
Class	9570f	Isogeny class
Conductor	9570	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-4564934859375000 = -1 · 23 · 32 · 59 · 113 · 293	Discriminant
Eigenvalues	2+ 3- 5+ -1 11+ -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-69484,7757282]	[a1,a2,a3,a4,a6]
j	-37099594447112534329/4564934859375000	j-invariant
L	0.84482879777798	L(r)(E,1)/r!
Ω	0.42241439888899	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	76560be2 28710bs2 47850bs2 105270bx2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570f2

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
+	-	+	-1	+	-4	-6	2	-6	+	2	8	3	5	-9	-3	6	8	-13	-9	-16	5	12	-6	11

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Quadratic twists for elliptic curve 9570f2

-4	-3	5	-11
76560be2	28710bs2	47850bs2	105270bx2

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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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