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	2350j	Isogeny class
Conductor	2350	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-110450 = -1 · 2 · 52 · 472	Discriminant
Eigenvalues	2-  1 5+  4  1 -4  3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,12,2]	[a1,a2,a3,a4,a6]
j	7604375/4418	j-invariant
L	4.0182526411886	L(r)(E,1)/r!
Ω	2.0091263205943	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18800be1 75200j1 21150bb1 2350h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2350j1

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	1	-4	3	5	0	6	4	2	-1	-4	+	12	-4	-14	13	0	3	-6	-5	-1	6

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Quadratic twists for elliptic curve 2350j1

-4	8	-3	5	-7	-47
18800be1	75200j1	21150bb1	2350h1	115150ck1	110450y1

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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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