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	13200be	Isogeny class
Conductor	13200	Conductor
∏ cp	38	Product of Tamagawa factors cp
deg	94848	Modular degree for the optimal curve
Δ	-8182320727680000 = -1 · 210 · 319 · 54 · 11	Discriminant
Eigenvalues	2+ 3- 5- -3 11+  0 -3 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-123208,17164388]	[a1,a2,a3,a4,a6]
Generators	[-16:4374:1]	Generators of the group modulo torsion
j	-323194518662500/12784876137	j-invariant
L	4.9949648770918	L(r)(E,1)/r!
Ω	0.41136151671339	Real period
R	0.31953996373846	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	6600h1 52800ft1 39600bs1 13200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200be1

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
+	-	-	-3	+	0	-3	-3	3	-6	10	7	7	4	9	-12	-7	-4	12	15	-4	-15	6	0	7

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Quadratic twists for elliptic curve 13200be1

-4	8	-3	5
6600h1	52800ft1	39600bs1	13200f1

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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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