Cremona's table of elliptic curves

2352 = 2⁴ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	2352x	Isogeny class
Conductor	2352	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-113739558411042816 = -1 · 227 · 3 · 710	Discriminant
Eigenvalues	2- 3- -3 7- -3  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-557832,-161367564]	[a1,a2,a3,a4,a6]
j	-16591834777/98304	j-invariant
L	1.5716735031726	L(r)(E,1)/r!
Ω	0.087315194620698	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	294e2 9408cg2 7056bz2 58800fv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352x2

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
-	-	-3	-	-3	4	0	-4	0	9	-1	8	0	10	-6	-3	3	10	10	6	-2	1	-9	-6	1

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Quadratic twists for elliptic curve 2352x2

-4	8	-3	5	-7
294e2	9408cg2	7056bz2	58800fv2	2352k2

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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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