Cremona's table of elliptic curves

9030 = 2 · 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 43-	Signs for the Atkin-Lehner involutions
Class	9030c	Isogeny class
Conductor	9030	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	-276480540 = -1 · 22 · 38 · 5 · 72 · 43	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4 -2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-373,-3047]	[a1,a2,a3,a4,a6]
j	-5763259856089/276480540	j-invariant
L	1.082946745317	L(r)(E,1)/r!
Ω	0.54147337265849	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72240cs1 27090br1 45150cx1 63210bc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030c1

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	-4	6	6	4	8	-2	2	-	8	-12	8	-6	0	-2	-14	-4	18	-12	8

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Quadratic twists for elliptic curve 9030c1

-4	-3	5	-7
72240cs1	27090br1	45150cx1	63210bc1

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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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