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	13200bm	Isogeny class
Conductor	13200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	25299648000000 = 212 · 33 · 56 · 114	Discriminant
Eigenvalues	2- 3+ 5+  4 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-58608,-5436288]	[a1,a2,a3,a4,a6]
j	347873904937/395307	j-invariant
L	2.4548747042429	L(r)(E,1)/r!
Ω	0.30685933803036	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	825b3 52800hf4 39600ed4 528h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13200bm3

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

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Quadratic twists for elliptic curve 13200bm3

-4	8	-3	5
825b3	52800hf4	39600ed4	528h3

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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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