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	13552i	Isogeny class
Conductor	13552	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	177779689472 = 211 · 72 · 116	Discriminant
Eigenvalues	2+ -2 -4 7- 11-  0  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4880,-131276]	[a1,a2,a3,a4,a6]
Generators	[-44:14:1]	Generators of the group modulo torsion
j	3543122/49	j-invariant
L	1.9822799049269	L(r)(E,1)/r!
Ω	0.57167703646832	Real period
R	1.7337410622377	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6776g2 54208cz2 121968ck2 94864v2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552i2

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	-4	-	-	0	2	-2	-8	-2	-4	-6	2	8	4	-10	-6	-4	12	0	14	-8	6	10	-2

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Quadratic twists for elliptic curve 13552i2

-4	8	-3	-7	-11
6776g2	54208cz2	121968ck2	94864v2	112a2

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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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