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	2350c	Isogeny class
Conductor	2350	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	235000000 = 26 · 57 · 47	Discriminant
Eigenvalues	2+ -1 5+ -5 -3 -5  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-900,10000]	[a1,a2,a3,a4,a6]
Generators	[-35:30:1] [0:100:1]	Generators of the group modulo torsion
j	5168743489/15040	j-invariant
L	2.2901739557259	L(r)(E,1)/r!
Ω	1.7681570510825	Real period
R	0.16190402560146	Regulator
r	2	Rank of the group of rational points
S	0.9999999999995	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18800t1 75200u1 21150cc1 470d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350c1

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	+	-5	-3	-5	0	-7	-6	-6	5	-8	-6	10	-	6	-12	-1	-2	0	13	-16	-9	6	-2

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Quadratic twists for elliptic curve 2350c1

-4	8	-3	5	-7	-47
18800t1	75200u1	21150cc1	470d1	115150h1	110450i1

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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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