Cremona's table of elliptic curves

2232 = 2³ · 3² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 31+	Signs for the Atkin-Lehner involutions
Class	2232i	Isogeny class
Conductor	2232	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-3254256 = -1 · 24 · 38 · 31	Discriminant
Eigenvalues	2- 3-  1  1  0 -6  0 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,33,47]	[a1,a2,a3,a4,a6]
Generators	[1:9:1]	Generators of the group modulo torsion
j	340736/279	j-invariant
L	3.2848979746589	L(r)(E,1)/r!
Ω	1.6258087018296	Real period
R	0.505117541037	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	4464f1 17856m1 744a1 55800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2232i1

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	1	0	-6	0	-3	-6	0	+	-8	11	-8	0	-4	11	-8	12	7	-4	10	-14	-10	1

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Quadratic twists for elliptic curve 2232i1

-4	8	-3	5	-7	-31
4464f1	17856m1	744a1	55800l1	109368bx1	69192bg1

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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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