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	13552u	Isogeny class
Conductor	13552	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1140480	Modular degree for the optimal curve
Δ	-9.1421209058399E+20	Discriminant
Eigenvalues	2- -3  2 7+ 11- -5 -8 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2035099,1834370890]	[a1,a2,a3,a4,a6]
Generators	[1213:33920:1]	Generators of the group modulo torsion
j	-8773917273/8605184	j-invariant
L	2.6179803869021	L(r)(E,1)/r!
Ω	0.14336350320065	Real period
R	4.5652839259203	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1694j1 54208ck1 121968em1 94864df1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552u1

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
-	-3	2	+	-	-5	-8	-3	-1	8	8	-2	2	-2	4	12	15	-10	0	8	-4	-3	3	6	16

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Quadratic twists for elliptic curve 13552u1

-4	8	-3	-7	-11
1694j1	54208ck1	121968em1	94864df1	13552bc1

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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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