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	23232dg	Isogeny class
Conductor	23232	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	31680	Modular degree for the optimal curve
Δ	-370412146368 = -1 · 26 · 33 · 118	Discriminant
Eigenvalues	2- 3+ -4 -1 11-  2  4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1775,4831]	[a1,a2,a3,a4,a6]
Generators	[90:941:1]	Generators of the group modulo torsion
j	45056/27	j-invariant
L	2.7686475825851	L(r)(E,1)/r!
Ω	0.58395981434733	Real period
R	4.7411611459591	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	23232cl1 5808bi1 69696ha1 23232df1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232dg1

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
-	+	-4	-1	-	2	4	-3	-2	-6	5	-3	-2	12	-2	-6	-10	-3	-1	0	-11	-11	6	12	5

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Quadratic twists for elliptic curve 23232dg1

-4	8	-3	-11
23232cl1	5808bi1	69696ha1	23232df1

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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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