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	13200bs	Isogeny class
Conductor	13200	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	36300000000 = 28 · 3 · 58 · 112	Discriminant
Eigenvalues	2- 3+ 5+ -2 11- -2 -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9908,382812]	[a1,a2,a3,a4,a6]
Generators	[13:506:1]	Generators of the group modulo torsion
j	26894628304/9075	j-invariant
L	3.4649653809472	L(r)(E,1)/r!
Ω	1.1349142685667	Real period
R	3.0530635457806	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	3300k2 52800gh2 39600di2 2640t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200bs2

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	-8	2	8	0	0	-2	0	6	8	-6	4	10	-12	-8	-10	14	4	10	18

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Quadratic twists for elliptic curve 13200bs2

-4	8	-3	5
3300k2	52800gh2	39600di2	2640t2

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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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