Cremona's table of elliptic curves

Curve 55440cg1

55440 = 24 · 32 · 5 · 7 · 11



Data for elliptic curve 55440cg1

Field Data Notes
Atkin-Lehner 2- 3+ 5- 7+ 11- Signs for the Atkin-Lehner involutions
Class 55440cg Isogeny class
Conductor 55440 Conductor
∏ cp 12 Product of Tamagawa factors cp
deg 41472 Modular degree for the optimal curve
Δ 69883506000 = 24 · 33 · 53 · 76 · 11 Discriminant
Eigenvalues 2- 3+ 5- 7+ 11-  2  6  4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-1032,1031] [a1,a2,a3,a4,a6]
j 281370820608/161767375 j-invariant
L 2.8066209940955 L(r)(E,1)/r!
Ω 0.93554033129098 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 13860f1 55440bu3 Quadratic twists by: -4 -3


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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