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	23232dd	Isogeny class
Conductor	23232	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	853429585231872 = 214 · 35 · 118	Discriminant
Eigenvalues	2- 3+ -2  2 11-  6  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-625489,190608145]	[a1,a2,a3,a4,a6]
Generators	[41220:472505:64]	Generators of the group modulo torsion
j	932410994128/29403	j-invariant
L	4.7539068646864	L(r)(E,1)/r!
Ω	0.46667258227969	Real period
R	5.0934070751099	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23232ce2 5808be2 69696gi2 2112t2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232dd2

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

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Quadratic twists for elliptic curve 23232dd2

-4	8	-3	-11
23232ce2	5808be2	69696gi2	2112t2

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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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