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	13200l	Isogeny class
Conductor	13200	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-948736800000000 = -1 · 211 · 34 · 58 · 114	Discriminant
Eigenvalues	2+ 3+ 5+  4 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,17592,-1184688]	[a1,a2,a3,a4,a6]
j	18814587262/29648025	j-invariant
L	2.0946843276859	L(r)(E,1)/r!
Ω	0.26183554096073	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	6600m4 52800gn3 39600s3 2640j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200l4

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

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Quadratic twists for elliptic curve 13200l4

-4	8	-3	5
6600m4	52800gn3	39600s3	2640j4

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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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