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	4	Product of Tamagawa factors cp
Δ	29578095835904 = 28 · 72 · 119	Discriminant
Eigenvalues	2-  2 -2 7- 11+  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-10204,301644]	[a1,a2,a3,a4,a6]
Generators	[-469458:8675877:10648]	Generators of the group modulo torsion
j	194672/49	j-invariant
L	6.2614348554238	L(r)(E,1)/r!
Ω	0.62058900616818	Real period
R	10.089503347932	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	3388b2 54208cn2 121968fd2 94864bv2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552w2

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 13552w2

-4	8	-3	-7	-11
3388b2	54208cn2	121968fd2	94864bv2	13552k2

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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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