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	9030n	Isogeny class
Conductor	9030	Conductor
∏ cp	23	Product of Tamagawa factors cp
deg	1639440	Modular degree for the optimal curve
Δ	-2.097550361346E+24	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -3 -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,28948069,35531512553]	[a1,a2,a3,a4,a6]
j	2682764238865722971266721231/2097550361346048000000000	j-invariant
L	1.2199710986285	L(r)(E,1)/r!
Ω	0.053042221679499	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	72240ct1 27090s1 45150bh1 63210cs1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030n1

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
-	+	+	+	-3	-2	-6	-2	-3	4	-2	-8	5	+	10	-10	6	10	-9	-5	14	9	5	-8	-1

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Quadratic twists for elliptic curve 9030n1

-4	-3	5	-7
72240ct1	27090s1	45150bh1	63210cs1

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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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