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	23232ds	Isogeny class
Conductor	23232	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3824628881965056 = -1 · 214 · 32 · 1110	Discriminant
Eigenvalues	2- 3- -3  2 11-  5  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21336817,-37942329361]	[a1,a2,a3,a4,a6]
j	-2527934627152/9	j-invariant
L	2.5288300615669	L(r)(E,1)/r!
Ω	0.035122639743987	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23232z2 5808t2 69696gr2 23232dt2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232ds2

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
-	-	-3	2	-	5	3	4	-6	-9	-8	7	3	10	-12	9	-6	14	2	6	10	8	0	-3	-1

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Quadratic twists for elliptic curve 23232ds2

-4	8	-3	-11
23232z2	5808t2	69696gr2	23232dt2

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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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