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	13552v	Isogeny class
Conductor	13552	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-1964275233536 = -1 · 28 · 78 · 113	Discriminant
Eigenvalues	2- -1  1 7- 11+  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1995,-58727]	[a1,a2,a3,a4,a6]
Generators	[73:686:1]	Generators of the group modulo torsion
j	2575826944/5764801	j-invariant
L	4.0703744785936	L(r)(E,1)/r!
Ω	0.43058136334505	Real period
R	0.2954126984686	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3388a1 54208cm1 121968fb1 94864bp1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552v1

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
-	-1	1	-	+	0	0	-8	3	8	-1	3	8	-8	-4	6	9	-8	-3	-7	8	0	8	7	-7

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Quadratic twists for elliptic curve 13552v1

-4	8	-3	-7	-11
3388a1	54208cm1	121968fb1	94864bp1	13552j1

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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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