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	9030u	Isogeny class
Conductor	9030	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	10800	Modular degree for the optimal curve
Δ	-5550343680 = -1 · 29 · 3 · 5 · 75 · 43	Discriminant
Eigenvalues	2- 3- 5+ 7+  5  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-781,-9199]	[a1,a2,a3,a4,a6]
j	-52687982361169/5550343680	j-invariant
L	4.0398759673372	L(r)(E,1)/r!
Ω	0.44887510748191	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	72240br1 27090w1 45150m1 63210by1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030u1

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
-	-	+	+	5	2	-6	-2	-9	4	6	8	11	-	6	-2	10	-14	1	-15	10	13	5	16	-1

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Quadratic twists for elliptic curve 9030u1

-4	-3	5	-7
72240br1	27090w1	45150m1	63210by1

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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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