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	430d	Isogeny class
Conductor	430	Conductor
∏ cp	75	Product of Tamagawa factors cp
deg	600	Modular degree for the optimal curve
Δ	-4403200000 = -1 · 215 · 55 · 43	Discriminant
Eigenvalues	2- -2 5- -5 -2 -5  2  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1415,20617]	[a1,a2,a3,a4,a6]
Generators	[-26:213:1]	Generators of the group modulo torsion
j	-313337384670961/4403200000	j-invariant
L	1.923165544242	L(r)(E,1)/r!
Ω	1.3842895617478	Real period
R	0.018523730847313	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	3440f1 13760e1 3870f1 2150d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 430d1

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	-	-5	-2	-5	2	3	-6	-1	-11	-10	5	+	4	10	8	-3	-3	-8	7	7	0	6	12

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Quadratic twists for elliptic curve 430d1

-4	8	-3	5	-7	-11	13	17	-43
3440f1	13760e1	3870f1	2150d1	21070q1	52030q1	72670b1	124270t1	18490a1

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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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