Cremona's table of elliptic curves

Curve 59856a2

59856 = 24 · 3 · 29 · 43



Data for elliptic curve 59856a2

Field Data Notes
Atkin-Lehner 2+ 3+ 29+ 43- Signs for the Atkin-Lehner involutions
Class 59856a Isogeny class
Conductor 59856 Conductor
∏ cp 24 Product of Tamagawa factors cp
Δ -136847294688162816 = -1 · 210 · 36 · 29 · 436 Discriminant
Eigenvalues 2+ 3+ -2 -2  0  2  0  0 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-714944,-233120016] [a1,a2,a3,a4,a6]
j -39467574763744230148/133639936218909 j-invariant
L 0.49245290667381 L(r)(E,1)/r!
Ω 0.082075484933226 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 29928g2 Quadratic twists by: -4


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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