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	13552c	Isogeny class
Conductor	13552	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8711204784128 = 211 · 74 · 116	Discriminant
Eigenvalues	2+  0  2 7+ 11- -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7139,-183678]	[a1,a2,a3,a4,a6]
j	11090466/2401	j-invariant
L	2.1094899048731	L(r)(E,1)/r!
Ω	0.52737247621828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6776c4 54208bx3 121968bl3 94864n3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552c3

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
+	0	2	+	-	-2	6	8	0	-6	-8	-2	-2	-4	8	6	0	6	4	8	-10	16	8	-6	-6

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Quadratic twists for elliptic curve 13552c3

-4	8	-3	-7	-11
6776c4	54208bx3	121968bl3	94864n3	112b4

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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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