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	13200cc	Isogeny class
Conductor	13200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-6042480468750000 = -1 · 24 · 32 · 518 · 11	Discriminant
Eigenvalues	2- 3- 5+  2 11+ -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-390533,93880938]	[a1,a2,a3,a4,a6]
Generators	[105574:587250:343]	Generators of the group modulo torsion
j	-26348629355659264/24169921875	j-invariant
L	5.9853612584711	L(r)(E,1)/r!
Ω	0.42254617216526	Real period
R	7.0824937636995	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	3300e3 52800ev3 39600dv3 2640o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200cc3

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

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Quadratic twists for elliptic curve 13200cc3

-4	8	-3	5
3300e3	52800ev3	39600dv3	2640o3

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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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