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	9570b	Isogeny class
Conductor	9570	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	272160	Modular degree for the optimal curve
Δ	-6715098089092546560 = -1 · 218 · 33 · 5 · 11 · 297	Discriminant
Eigenvalues	2+ 3+ 5+  0 11- -5  5 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,240917,116172157]	[a1,a2,a3,a4,a6]
Generators	[614:21965:1]	Generators of the group modulo torsion
j	1546404963542218051271/6715098089092546560	j-invariant
L	2.381383987405	L(r)(E,1)/r!
Ω	0.1695122732141	Real period
R	1.0034604162755	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	76560bx1 28710bk1 47850cs1 105270bk1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9570b1

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	-	-5	5	-6	4	-	1	5	-8	1	-11	9	11	15	-5	-12	2	0	11	-6	14

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Quadratic twists for elliptic curve 9570b1

-4	-3	5	-11
76560bx1	28710bk1	47850cs1	105270bk1

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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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