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	13200h	Isogeny class
Conductor	13200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	38423840400000000 = 210 · 38 · 58 · 114	Discriminant
Eigenvalues	2+ 3+ 5+  0 11-  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-95008,-6141488]	[a1,a2,a3,a4,a6]
j	5927735656804/2401490025	j-invariant
L	2.2535923986041	L(r)(E,1)/r!
Ω	0.28169904982551	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6600i3 52800fx3 39600f3 2640m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200h4

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

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Quadratic twists for elliptic curve 13200h4

-4	8	-3	5
6600i3	52800fx3	39600f3	2640m4

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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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