Cremona's table of elliptic curves

430 = 2 · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 5+ 43-	Signs for the Atkin-Lehner involutions
Class	430c	Isogeny class
Conductor	430	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	-110080 = -1 · 29 · 5 · 43	Discriminant
Eigenvalues	2- -2 5+ -1 -6  5 -6 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,4,16]	[a1,a2,a3,a4,a6]
Generators	[-2:2:1]	Generators of the group modulo torsion
j	6967871/110080	j-invariant
L	1.8882295645393	L(r)(E,1)/r!
Ω	2.4806272615892	Real period
R	0.76119036252532	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3440b1 13760f1 3870j1 2150a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 430c1

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
-	-2	+	-1	-6	5	-6	-7	-6	-3	5	2	-3	-	12	6	-12	-1	-13	12	11	-1	0	6	8

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Quadratic twists for elliptic curve 430c1

-4	8	-3	5	-7	-11	13	17	-43
3440b1	13760f1	3870j1	2150a1	21070bc1	52030d1	72670j1	124270y1	18490f1

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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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