Cremona's table of elliptic curves

4232 = 2³ · 23²

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	4232g	Isogeny class
Conductor	4232	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8832	Modular degree for the optimal curve
Δ	-28818442583408 = -1 · 24 · 239	Discriminant
Eigenvalues	2- -1 -2 -2  6 -1 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4056,-239735]	[a1,a2,a3,a4,a6]
Generators	[1596:12167:27]	Generators of the group modulo torsion
j	256	j-invariant
L	2.4950664986859	L(r)(E,1)/r!
Ω	0.33666859302825	Real period
R	1.852761551236	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	8464e1 33856f1 38088f1 105800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4232g1

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
-	-1	-2	-2	6	-1	-6	4	-	9	3	2	-1	0	-1	12	-12	-8	10	-13	5	4	-2	12	2

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Quadratic twists for elliptic curve 4232g1

-4	8	-3	5	-23
8464e1	33856f1	38088f1	105800c1	4232f1

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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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