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	9570v	Isogeny class
Conductor	9570	Conductor
∏ cp	245	Product of Tamagawa factors cp
deg	62720	Modular degree for the optimal curve
Δ	-6768679170000000 = -1 · 27 · 3 · 57 · 11 · 295	Discriminant
Eigenvalues	2- 3+ 5-  0 11- -4 -3  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,33610,3183155]	[a1,a2,a3,a4,a6]
Generators	[1913:-85057:1]	Generators of the group modulo torsion
j	4198831454347316639/6768679170000000	j-invariant
L	5.9382416427649	L(r)(E,1)/r!
Ω	0.28728159034999	Real period
R	0.084369210576107	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	76560cf1 28710f1 47850bm1 105270j1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570v1

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	-3	1	0	-	-5	-4	12	-6	7	0	-14	-12	-4	-3	2	2	-2	9	-7

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Quadratic twists for elliptic curve 9570v1

-4	-3	5	-11
76560cf1	28710f1	47850bm1	105270j1

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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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