Cremona's table of elliptic curves

4350 = 2 · 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 29+	Signs for the Atkin-Lehner involutions
Class	4350b	Isogeny class
Conductor	4350	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	81562500 = 22 · 32 · 57 · 29	Discriminant
Eigenvalues	2+ 3+ 5+ -2 -2  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-125,-375]	[a1,a2,a3,a4,a6]
Generators	[-5:15:1]	Generators of the group modulo torsion
j	13997521/5220	j-invariant
L	2.1308869542927	L(r)(E,1)/r!
Ω	1.4713361197046	Real period
R	0.36206664910813	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34800cv1 13050bj1 870h1 126150cw1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350b1

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	-2	4	-6	4	0	+	-2	10	0	4	8	-10	0	-8	-8	8	-10	10	6	8	18

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Quadratic twists for elliptic curve 4350b1

-4	-3	5	29
34800cv1	13050bj1	870h1	126150cw1

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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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