Cremona's table of elliptic curves

2350 = 2 · 5² · 47

Field	Data	Notes
Atkin-Lehner	2- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	2350k	Isogeny class
Conductor	2350	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	1872	Modular degree for the optimal curve
Δ	-452403200 = -1 · 213 · 52 · 472	Discriminant
Eigenvalues	2-  1 5+ -4  5 -4 -5  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-768,8192]	[a1,a2,a3,a4,a6]
Generators	[28:80:1]	Generators of the group modulo torsion
j	-2004023020585/18096128	j-invariant
L	4.7351518645731	L(r)(E,1)/r!
Ω	1.676525769171	Real period
R	0.10863013793731	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	18800v1 75200w1 21150x1 2350f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350k1

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
-	1	+	-4	5	-4	-5	1	-8	-10	-4	2	11	4	-	4	12	-14	-7	0	7	-6	-5	-17	-10

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Quadratic twists for elliptic curve 2350k1

-4	8	-3	5	-7	-47
18800v1	75200w1	21150x1	2350f1	115150bx1	110450z1

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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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