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	4350n	Isogeny class
Conductor	4350	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	46980000000 = 28 · 34 · 57 · 29	Discriminant
Eigenvalues	2+ 3- 5+ -4  0  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6251,189398]	[a1,a2,a3,a4,a6]
Generators	[-33:616:1]	Generators of the group modulo torsion
j	1728432036001/3006720	j-invariant
L	2.9492588049545	L(r)(E,1)/r!
Ω	1.1333094907432	Real period
R	0.32529274097718	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	34800cf1 13050bf1 870g1 126150cd1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350n1

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

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Quadratic twists for elliptic curve 4350n1

-4	-3	5	29
34800cf1	13050bf1	870g1	126150cd1

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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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