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	9030w	Isogeny class
Conductor	9030	Conductor
∏ cp	432	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	-44532290496960 = -1 · 26 · 36 · 5 · 74 · 433	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,4754,-294844]	[a1,a2,a3,a4,a6]
Generators	[128:1490:1]	Generators of the group modulo torsion
j	11882163791971871/44532290496960	j-invariant
L	7.3458850893317	L(r)(E,1)/r!
Ω	0.325154287003	Real period
R	1.8826665224684	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	72240bg1 27090y1 45150a1 63210bv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030w1

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	-4	0	-4	0	-6	-4	2	-6	-	0	-6	0	8	-16	0	-10	-16	6	0	14

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Quadratic twists for elliptic curve 9030w1

-4	-3	5	-7
72240bg1	27090y1	45150a1	63210bv1

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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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