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	16	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	-25174416736387072 = -1 · 224 · 7 · 118	Discriminant
Eigenvalues	2-  0  2 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7139,-7637278]	[a1,a2,a3,a4,a6]
Generators	[301917:31925366:27]	Generators of the group modulo torsion
j	-5545233/3469312	j-invariant
L	4.9179346923022	L(r)(E,1)/r!
Ω	0.16980998680027	Real period
R	7.2403496180803	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	1694d1 54208bw1 121968eh1 94864bz1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552m1

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 13552m1

-4	8	-3	-7	-11
1694d1	54208bw1	121968eh1	94864bz1	1232j1

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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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