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	23232cz	Isogeny class
Conductor	23232	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	9404182757376 = 216 · 34 · 116	Discriminant
Eigenvalues	2- 3+  2  0 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11777,-465375]	[a1,a2,a3,a4,a6]
Generators	[-1671:4060:27]	Generators of the group modulo torsion
j	1556068/81	j-invariant
L	5.2088699557708	L(r)(E,1)/r!
Ω	0.45977068087901	Real period
R	5.6646391042294	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	23232bw3 5808o3 69696gl3 192d4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 23232cz3

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	0	-	-2	-2	4	8	6	-8	-6	6	-4	0	2	4	-2	-4	-8	-10	-8	4	-6	2

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Quadratic twists for elliptic curve 23232cz3

-4	8	-3	-11
23232bw3	5808o3	69696gl3	192d4

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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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