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	2352o	Isogeny class
Conductor	2352	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	30364796660760576 = 214 · 38 · 710	Discriminant
Eigenvalues	2- 3+  2 7-  4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-81552,3199680]	[a1,a2,a3,a4,a6]
Generators	[1722:70470:1]	Generators of the group modulo torsion
j	124475734657/63011844	j-invariant
L	3.03547238646	L(r)(E,1)/r!
Ω	0.32839891668601	Real period
R	4.6216236294138	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	294c4 9408db3 7056by4 58800ix3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352o3

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
-	+	2	-	4	-6	-2	-4	-8	-2	0	-10	6	4	0	6	4	-6	-4	-8	-10	0	-4	6	14

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Quadratic twists for elliptic curve 2352o3

-4	8	-3	5	-7
294c4	9408db3	7056by4	58800ix3	336d4

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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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