Cremona's table of elliptic curves

Curve 110544bk2

110544 = 24 · 3 · 72 · 47



Data for elliptic curve 110544bk2

Field Data Notes
Atkin-Lehner 2+ 3- 7- 47+ Signs for the Atkin-Lehner involutions
Class 110544bk Isogeny class
Conductor 110544 Conductor
∏ cp 96 Product of Tamagawa factors cp
Δ 931608830883612672 = 211 · 36 · 710 · 472 Discriminant
Eigenvalues 2+ 3- -4 7-  2 -4  2  2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-1486480,-696516556] [a1,a2,a3,a4,a6]
Generators [-724:846:1] Generators of the group modulo torsion
j 1507589218227458/3866476761 j-invariant
L 5.7270895199596 L(r)(E,1)/r!
Ω 0.1367498003557 Real period
R 1.7450024122927 Regulator
r 1 Rank of the group of rational points
S 0.99999999370182 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 55272x2 15792c2 Quadratic twists by: -4 -7


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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