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	9030o	Isogeny class
Conductor	9030	Conductor
∏ cp	768	Product of Tamagawa factors cp
deg	3133440	Modular degree for the optimal curve
Δ	5.36871960576E+23	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-341344000,-2427259262815]	[a1,a2,a3,a4,a6]
Generators	[46333:8989333:1]	Generators of the group modulo torsion
j	4398458841654808806211585536001/536871960576000000000000	j-invariant
L	5.7308368075565	L(r)(E,1)/r!
Ω	0.035124056504796	Real period
R	3.3991641447923	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	72240dd1 27090e1 45150bf1 63210cd1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030o1

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

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Quadratic twists for elliptic curve 9030o1

-4	-3	5	-7
72240dd1	27090e1	45150bf1	63210cd1

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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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