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	13552w	Isogeny class
Conductor	13552	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	19008	Modular degree for the optimal curve
Δ	264090141392 = 24 · 7 · 119	Discriminant
Eigenvalues	2-  2 -2 7- 11+  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3549,-76360]	[a1,a2,a3,a4,a6]
Generators	[-2013958130052:-2823213949417:68518346688]	Generators of the group modulo torsion
j	131072/7	j-invariant
L	6.2614348554238	L(r)(E,1)/r!
Ω	0.62058900616818	Real period
R	20.179006695864	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	3388b1 54208cn1 121968fd1 94864bv1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552w1

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

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Quadratic twists for elliptic curve 13552w1

-4	8	-3	-7	-11
3388b1	54208cn1	121968fd1	94864bv1	13552k1

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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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