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	30601961865216 = 216 · 34 · 78	Discriminant
Eigenvalues	2- 3+  2 7-  4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-65872,6523840]	[a1,a2,a3,a4,a6]
Generators	[-198:3430:1]	Generators of the group modulo torsion
j	65597103937/63504	j-invariant
L	3.03547238646	L(r)(E,1)/r!
Ω	0.65679783337202	Real period
R	2.3108118147069	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	294c2 9408db2 7056by2 58800ix2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2352o2

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 2352o2

-4	8	-3	5	-7
294c2	9408db2	7056by2	58800ix2	336d2

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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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