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	430b	Isogeny class
Conductor	430	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	40	Modular degree for the optimal curve
Δ	-268750 = -1 · 2 · 55 · 43	Discriminant
Eigenvalues	2+  0 5- -3  0 -3 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,16,-10]	[a1,a2,a3,a4,a6]
Generators	[1:2:1]	Generators of the group modulo torsion
j	437245479/268750	j-invariant
L	1.4065602884756	L(r)(E,1)/r!
Ω	1.7919479981597	Real period
R	0.15698673063282	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	3440e1 13760a1 3870t1 2150j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 430b1

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	-	-3	0	-3	-4	-1	0	-3	7	-8	-7	-	-6	-6	-4	7	5	2	-1	9	8	4	-2

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Quadratic twists for elliptic curve 430b1

-4	8	-3	5	-7	-11	13	17	-43
3440e1	13760a1	3870t1	2150j1	21070f1	52030y1	72670p1	124270c1	18490i1

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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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