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	13552s	Isogeny class
Conductor	13552	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-301158793965568 = -1 · 212 · 73 · 118	Discriminant
Eigenvalues	2- -2 -2 7+ 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,6736,809620]	[a1,a2,a3,a4,a6]
Generators	[18:968:1]	Generators of the group modulo torsion
j	4657463/41503	j-invariant
L	1.9925628115896	L(r)(E,1)/r!
Ω	0.39974598064303	Real period
R	1.2461431184276	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	847c1 54208cf1 121968ed1 94864cs1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552s1

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

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Quadratic twists for elliptic curve 13552s1

-4	8	-3	-7	-11
847c1	54208cf1	121968ed1	94864cs1	1232i1

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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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