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	2232h	Isogeny class
Conductor	2232	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4842332928 = -1 · 28 · 39 · 312	Discriminant
Eigenvalues	2- 3+  0  0 -4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-135,3402]	[a1,a2,a3,a4,a6]
Generators	[9:54:1]	Generators of the group modulo torsion
j	-54000/961	j-invariant
L	3.0705864661248	L(r)(E,1)/r!
Ω	1.154182971181	Real period
R	0.66509958619969	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4464a2 17856e2 2232a2 55800e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2232h2

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
-	+	0	0	-4	2	-6	4	4	6	-	-10	-8	-4	-6	-10	-6	6	12	2	14	0	-12	-10	-14

---

Quadratic twists for elliptic curve 2232h2

-4	8	-3	5	-7	-31
4464a2	17856e2	2232a2	55800e2	109368be2	69192ba2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations