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	2352p	Isogeny class
Conductor	2352	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1897443072 = 28 · 32 · 77	Discriminant
Eigenvalues	2- 3+ -4 7- -2  6  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1780,-28244]	[a1,a2,a3,a4,a6]
Generators	[61:294:1]	Generators of the group modulo torsion
j	20720464/63	j-invariant
L	2.1481709694956	L(r)(E,1)/r!
Ω	0.73511215600669	Real period
R	1.4611178389193	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	588f2 9408dd2 7056cb2 58800iq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352p2

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	-	-2	6	4	-4	-2	-2	0	2	0	4	12	-6	-8	-6	8	-14	2	-12	-4	0	2

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Quadratic twists for elliptic curve 2352p2

-4	8	-3	5	-7
588f2	9408dd2	7056cb2	58800iq2	336f2

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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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