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	2352c	Isogeny class
Conductor	2352	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	271063296 = 28 · 32 · 76	Discriminant
Eigenvalues	2+ 3+  2 7- -4  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-212,960]	[a1,a2,a3,a4,a6]
j	35152/9	j-invariant
L	1.6301726004867	L(r)(E,1)/r!
Ω	1.6301726004867	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1176i2 9408cz2 7056z2 58800dm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352c2

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	2	-2	-4	8	6	8	6	6	-4	0	-2	4	2	4	-8	-10	8	-4	6	-2

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Quadratic twists for elliptic curve 2352c2

-4	8	-3	5	-7
1176i2	9408cz2	7056z2	58800dm2	48a1

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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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