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	23232u	Isogeny class
Conductor	23232	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	65306824704 = 212 · 32 · 116	Discriminant
Eigenvalues	2+ 3+ -2  4 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1129,-7511]	[a1,a2,a3,a4,a6]
j	21952/9	j-invariant
L	1.7074433171251	L(r)(E,1)/r!
Ω	0.85372165856256	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23232ch2 11616ba1 69696cl2 192a2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232u2

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	4	-	-2	6	-4	0	2	4	2	-2	4	8	-10	4	6	-4	-16	6	-4	12	10	-14

---

Quadratic twists for elliptic curve 23232u2

-4	8	-3	-11
23232ch2	11616ba1	69696cl2	192a2

---

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