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	13200u	Isogeny class
Conductor	13200	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	52707600000000 = 210 · 32 · 58 · 114	Discriminant
Eigenvalues	2+ 3- 5+  0 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-121008,16157988]	[a1,a2,a3,a4,a6]
Generators	[-72:4950:1]	Generators of the group modulo torsion
j	12247559771044/3294225	j-invariant
L	5.8983599518127	L(r)(E,1)/r!
Ω	0.61633634047212	Real period
R	1.1962542942248	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6600a3 52800dz4 39600e4 2640f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200u4

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

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Quadratic twists for elliptic curve 13200u4

-4	8	-3	5
6600a3	52800dz4	39600e4	2640f4

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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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