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	2352m	Isogeny class
Conductor	2352	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5040	Modular degree for the optimal curve
Δ	-17572220289792 = -1 · 28 · 35 · 710	Discriminant
Eigenvalues	2- 3+  2 7- -2  3 -8 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6403,-44463]	[a1,a2,a3,a4,a6]
Generators	[13:202:1]	Generators of the group modulo torsion
j	401408/243	j-invariant
L	3.0044251899253	L(r)(E,1)/r!
Ω	0.40169415052598	Real period
R	3.7396924824414	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	588d1 9408cx1 7056bu1 58800im1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352m1

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	-	-2	3	-8	-1	-8	4	3	-1	-6	-11	6	-12	4	6	-13	10	11	3	2	0	-10

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Quadratic twists for elliptic curve 2352m1

-4	8	-3	5	-7
588d1	9408cx1	7056bu1	58800im1	2352s1

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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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