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	23232cf	Isogeny class
Conductor	23232	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	6273347523643183104 = 212 · 310 · 1110	Discriminant
Eigenvalues	2+ 3- -2  4 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9487529,11244256791]	[a1,a2,a3,a4,a6]
Generators	[-389:121968:1]	Generators of the group modulo torsion
j	13015685560572352/864536409	j-invariant
L	6.1962084581074	L(r)(E,1)/r!
Ω	0.22627253598377	Real period
R	2.7383829111952	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23232v2 11616d1 69696ck2 2112n2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232cf2

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	4	-	-2	-2	-4	0	-6	-4	2	6	4	8	6	12	-10	4	0	-10	12	-12	10	18

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Quadratic twists for elliptic curve 23232cf2

-4	8	-3	-11
23232v2	11616d1	69696ck2	2112n2

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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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