Cremona's table of elliptic curves

13552 = 2⁴ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	13552ba	Isogeny class
Conductor	13552	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	182046402019328 = 221 · 72 · 116	Discriminant
Eigenvalues	2-  2  0 7- 11-  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5286288,-4676390464]	[a1,a2,a3,a4,a6]
j	2251439055699625/25088	j-invariant
L	3.5843824634524	L(r)(E,1)/r!
Ω	0.099566179540344	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1694f6 54208dc6 121968fl6 94864cz6	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552ba6

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

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Quadratic twists for elliptic curve 13552ba6

-4	8	-3	-7	-11
1694f6	54208dc6	121968fl6	94864cz6	112c6

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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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