Cremona's table of elliptic curves

23232 = 2⁶ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	23232dm	Isogeny class
Conductor	23232	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-81929240182259712 = -1 · 219 · 36 · 118	Discriminant
Eigenvalues	2- 3-  0  2 11- -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,34687,13556607]	[a1,a2,a3,a4,a6]
j	9938375/176418	j-invariant
L	3.0589284547329	L(r)(E,1)/r!
Ω	0.25491070456108	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23232i2 5808p2 69696fn2 2112x2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232dm2

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

---

Quadratic twists for elliptic curve 23232dm2

-4	8	-3	-11
23232i2	5808p2	69696fn2	2112x2

---

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