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	9570d	Isogeny class
Conductor	9570	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	8031463623046875000 = 23 · 3 · 520 · 112 · 29	Discriminant
Eigenvalues	2+ 3+ 5- -4 11+  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-652602,-150553284]	[a1,a2,a3,a4,a6]
Generators	[-493:7434:1]	Generators of the group modulo torsion
j	30737599896128372481961/8031463623046875000	j-invariant
L	2.4938900493752	L(r)(E,1)/r!
Ω	0.17122846961109	Real period
R	1.4564692746711	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	76560cl4 28710bf4 47850cp4 105270bq4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570d3

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

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Quadratic twists for elliptic curve 9570d3

-4	-3	5	-11
76560cl4	28710bf4	47850cp4	105270bq4

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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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