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	13200cp	Isogeny class
Conductor	13200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	36085500000000 = 28 · 38 · 59 · 11	Discriminant
Eigenvalues	2- 3- 5- -2 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10708,310088]	[a1,a2,a3,a4,a6]
j	271593488/72171	j-invariant
L	2.4343801894308	L(r)(E,1)/r!
Ω	0.60859504735771	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	3300h2 52800fq2 39600ez2 13200bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200cp2

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	+	2	6	-4	0	2	8	0	-2	-2	-8	-8	8	10	-8	12	14	-8	6	-14	12

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Quadratic twists for elliptic curve 13200cp2

-4	8	-3	5
3300h2	52800fq2	39600ez2	13200bw2

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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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