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	13200bc	Isogeny class
Conductor	13200	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	124800	Modular degree for the optimal curve
Δ	-19291308300000000 = -1 · 28 · 313 · 58 · 112	Discriminant
Eigenvalues	2+ 3- 5- -1 11+ -1 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-792833,-272066037]	[a1,a2,a3,a4,a6]
Generators	[1054:8019:1]	Generators of the group modulo torsion
j	-551149496796160/192913083	j-invariant
L	5.4275117575979	L(r)(E,1)/r!
Ω	0.07999539092672	Real period
R	2.6095309966862	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	6600y1 52800fn1 39600bq1 13200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200bc1

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	-6	-2	-3	10	-6	3	4	10	-4	5	5	0	14	-4	-6	-14	-15

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Quadratic twists for elliptic curve 13200bc1

-4	8	-3	5
6600y1	52800fn1	39600bq1	13200c1

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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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