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	23232q	Isogeny class
Conductor	23232	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	31608503156736 = 214 · 32 · 118	Discriminant
Eigenvalues	2+ 3+  2 -4 11-  6 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21457,-1172015]	[a1,a2,a3,a4,a6]
j	37642192/1089	j-invariant
L	0.79032126543091	L(r)(E,1)/r!
Ω	0.39516063271548	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	23232dq2 2904n2 69696cx2 2112g2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232q2

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

---

Quadratic twists for elliptic curve 23232q2

-4	8	-3	-11
23232dq2	2904n2	69696cx2	2112g2

---

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