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	13552m	Isogeny class
Conductor	13552	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	333167671495622656 = 218 · 72 · 1110	Discriminant
Eigenvalues	2-  0  2 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-626659,-188908830]	[a1,a2,a3,a4,a6]
Generators	[-48303310186791:-93216960661440:99445904137]	Generators of the group modulo torsion
j	3750606459153/45914176	j-invariant
L	4.9179346923022	L(r)(E,1)/r!
Ω	0.16980998680027	Real period
R	14.480699236161	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1694d2 54208bw2 121968eh2 94864bz2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552m2

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	-2	0	8	2	8	-2	-10	4	-8	6	0	-10	12	-16	14	0	0	-6	10

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Quadratic twists for elliptic curve 13552m2

-4	8	-3	-7	-11
1694d2	54208bw2	121968eh2	94864bz2	1232j2

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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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