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	23232v	Isogeny class
Conductor	23232	Conductor
∏ cp	32	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]
j	13015685560572352/864536409	j-invariant
L	0.1720453734571	L(r)(E,1)/r!
Ω	0.086022686728587	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23232cf2 11616bb1 69696cn2 2112h2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232v2

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 23232v2

-4	8	-3	-11
23232cf2	11616bb1	69696cn2	2112h2

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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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