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	4	Product of Tamagawa factors cp
Δ	1706859170463744 = 215 · 35 · 118	Discriminant
Eigenvalues	2+ 3+ -2 -4 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-151798049,-719808335871]	[a1,a2,a3,a4,a6]
j	6663712298552914184/29403	j-invariant
L	0.1720453734571	L(r)(E,1)/r!
Ω	0.043011343364294	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23232cf4 11616bb2 69696cn4 2112h3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232v4

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 23232v4

-4	8	-3	-11
23232cf4	11616bb2	69696cn4	2112h3

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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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