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	9030d	Isogeny class
Conductor	9030	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-1105922160 = -1 · 24 · 38 · 5 · 72 · 43	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -4 -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,112,-1488]	[a1,a2,a3,a4,a6]
Generators	[12:36:1]	Generators of the group modulo torsion
j	153216258551/1105922160	j-invariant
L	2.1602793106329	L(r)(E,1)/r!
Ω	0.77071323565001	Real period
R	1.4014806095882	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72240ck1 27090bu1 45150ct1 63210bd1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030d1

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	-6	-6	8	4	-6	-8	10	10	-	12	10	-12	10	4	-8	6	-8	12	-14	10

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Quadratic twists for elliptic curve 9030d1

-4	-3	5	-7
72240ck1	27090bu1	45150ct1	63210bd1

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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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