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	23232cu	Isogeny class
Conductor	23232	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-52027785216 = -1 · 216 · 38 · 112	Discriminant
Eigenvalues	2- 3+  1  0 11- -1 -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,895,3489]	[a1,a2,a3,a4,a6]
Generators	[71:648:1]	Generators of the group modulo torsion
j	9987164/6561	j-invariant
L	4.4814277136041	L(r)(E,1)/r!
Ω	0.70347630861618	Real period
R	1.5926007950501	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	23232bp1 5808l1 69696ga1 23232ct1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232cu1

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	0	-	-1	-3	0	-4	-1	0	1	9	-4	4	-3	12	14	16	12	-10	4	0	-5	-5

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Quadratic twists for elliptic curve 23232cu1

-4	8	-3	-11
23232bp1	5808l1	69696ga1	23232ct1

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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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