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	13200cn	Isogeny class
Conductor	13200	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	333540281250000 = 24 · 36 · 59 · 114	Discriminant
Eigenvalues	2- 3- 5-  0 11+  4  0  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25333,1270838]	[a1,a2,a3,a4,a6]
j	57537462272/10673289	j-invariant
L	3.0869824222687	L(r)(E,1)/r!
Ω	0.51449707037811	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3300g1 52800fm1 39600ev1 13200bv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200cn1

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
-	-	-	0	+	4	0	8	-4	2	-4	8	-2	0	4	12	12	2	-12	0	-12	-12	8	6	0

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Quadratic twists for elliptic curve 13200cn1

-4	8	-3	5
3300g1	52800fm1	39600ev1	13200bv1

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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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