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	13200a	Isogeny class
Conductor	13200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1405536000000 = -1 · 211 · 3 · 56 · 114	Discriminant
Eigenvalues	2+ 3+ 5+  0 11+ -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,2192,-41888]	[a1,a2,a3,a4,a6]
Generators	[42:350:1]	Generators of the group modulo torsion
j	36382894/43923	j-invariant
L	3.6863609963187	L(r)(E,1)/r!
Ω	0.45799051533468	Real period
R	2.0122474554003	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6600bb4 52800gr3 39600w3 528d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200a4

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	0	4	2	0	10	6	-8	-4	6	12	2	4	-12	14	-16	-12	10	14

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Quadratic twists for elliptic curve 13200a4

-4	8	-3	5
6600bb4	52800gr3	39600w3	528d4

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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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