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	8	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	-3174637312 = -1 · 28 · 7 · 116	Discriminant
Eigenvalues	2+  0  2 7+ 11- -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,121,2662]	[a1,a2,a3,a4,a6]
j	432/7	j-invariant
L	2.1094899048731	L(r)(E,1)/r!
Ω	1.0547449524366	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	6776c1 54208bx1 121968bl1 94864n1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552c1

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 13552c1

-4	8	-3	-7	-11
6776c1	54208bx1	121968bl1	94864n1	112b1

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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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