Cremona's table of elliptic curves

Curve 18800s1

18800 = 24 · 52 · 47



Data for elliptic curve 18800s1

Field Data Notes
Atkin-Lehner 2- 5+ 47+ Signs for the Atkin-Lehner involutions
Class 18800s Isogeny class
Conductor 18800 Conductor
∏ cp 4 Product of Tamagawa factors cp
deg 184320 Modular degree for the optimal curve
Δ 96256000000000 = 220 · 59 · 47 Discriminant
Eigenvalues 2-  1 5+ -1 -3 -5 -6  1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2309008,-1351244012] [a1,a2,a3,a4,a6]
j 21272583599722441/1504000 j-invariant
L 0.48989518704659 L(r)(E,1)/r!
Ω 0.12247379676165 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 2350l1 75200ch1 3760p1 Quadratic twists by: -4 8 5


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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