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	23232bz	Isogeny class
Conductor	23232	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-23232 = -1 · 26 · 3 · 112	Discriminant
Eigenvalues	2+ 3-  2 -3 11-  6  4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7,-13]	[a1,a2,a3,a4,a6]
Generators	[154:1917:1]	Generators of the group modulo torsion
j	-5632/3	j-invariant
L	7.1468516859325	L(r)(E,1)/r!
Ω	1.4152724525263	Real period
R	5.0498062568625	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	23232o1 11616v1 69696cu1 23232by1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232bz1

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	-3	-	6	4	-5	-2	2	1	-7	-4	4	-8	-6	-6	-9	-13	10	11	-13	-4	-14	-7

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Quadratic twists for elliptic curve 23232bz1

-4	8	-3	-11
23232o1	11616v1	69696cu1	23232by1

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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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