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	430a	Isogeny class
Conductor	430	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-1720 = -1 · 23 · 5 · 43	Discriminant
Eigenvalues	2+  0 5+  1 -4 -1  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-20,40]	[a1,a2,a3,a4,a6]
Generators	[3:-1:1]	Generators of the group modulo torsion
j	-909853209/1720	j-invariant
L	1.3745515858983	L(r)(E,1)/r!
Ω	4.724101099954	Real period
R	0.29096574286094	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3440c1 13760i1 3870x1 2150l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 430a1

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	+	1	-4	-1	0	1	-4	-5	-9	4	-7	+	6	-2	0	-7	15	-6	-5	9	0	0	-2

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Quadratic twists for elliptic curve 430a1

-4	8	-3	5	-7	-11	13	17	-43
3440c1	13760i1	3870x1	2150l1	21070j1	52030t1	72670u1	124270h1	18490l1

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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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