Cremona's table of elliptic curves

4232 = 2³ · 23²

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	4232i	Isogeny class
Conductor	4232	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	30912	Modular degree for the optimal curve
Δ	-42420747482776576 = -1 · 210 · 2310	Discriminant
Eigenvalues	2-  2  1 -2 -2 -5  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-93280,14810844]	[a1,a2,a3,a4,a6]
Generators	[330:26571:8]	Generators of the group modulo torsion
j	-2116	j-invariant
L	4.8767133857349	L(r)(E,1)/r!
Ω	0.33734278571339	Real period
R	7.2281275786319	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	8464h1 33856q1 38088b1 105800j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4232i1

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	1	-2	-2	-5	2	6	-	-5	0	-2	-9	-8	10	9	-10	13	-8	-2	3	0	-12	-7	17

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Quadratic twists for elliptic curve 4232i1

-4	8	-3	5	-23
8464h1	33856q1	38088b1	105800j1	4232j1

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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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