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	160	Product of Tamagawa factors cp
Δ	69261080625000000 = 26 · 32 · 510 · 114 · 292	Discriminant
Eigenvalues	2+ 3+ 5- -4 11+  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-231522,40869684]	[a1,a2,a3,a4,a6]
Generators	[-372:8886:1]	Generators of the group modulo torsion
j	1372471830316604710441/69261080625000000	j-invariant
L	2.4938900493752	L(r)(E,1)/r!
Ω	0.34245693922219	Real period
R	0.72823463733556	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	76560cl2 28710bf2 47850cp2 105270bq2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570d2

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 9570d2

-4	-3	5	-11
76560cl2	28710bf2	47850cp2	105270bq2

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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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