Cremona's table of elliptic curves

13200 = 2⁴ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	13200ct	Isogeny class
Conductor	13200	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-26462700000000 = -1 · 28 · 37 · 58 · 112	Discriminant
Eigenvalues	2- 3- 5- -1 11- -1  2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6667,-129537]	[a1,a2,a3,a4,a6]
Generators	[283:4950:1]	Generators of the group modulo torsion
j	327680000/264627	j-invariant
L	5.6973286035179	L(r)(E,1)/r!
Ω	0.37077077531228	Real period
R	0.18293065428618	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	3300f1 52800fh1 39600em1 13200bp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200ct1

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
-	-	-	-1	-	-1	2	5	-2	-6	-3	2	-6	3	-8	-6	-8	-11	-3	4	-2	-4	2	-2	9

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Quadratic twists for elliptic curve 13200ct1

-4	8	-3	5
3300f1	52800fh1	39600em1	13200bp1

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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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