Cremona's table of elliptic curves

Curve 5985h2

5985 = 32 · 5 · 7 · 19



Data for elliptic curve 5985h2

Field Data Notes
Atkin-Lehner 3- 5+ 7+ 19+ Signs for the Atkin-Lehner involutions
Class 5985h Isogeny class
Conductor 5985 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ 72535955625 = 38 · 54 · 72 · 192 Discriminant
Eigenvalues  1 3- 5+ 7+ -4 -2 -2 19+ Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-29925,-1985000] [a1,a2,a3,a4,a6]
j 4065433152958801/99500625 j-invariant
L 0.72597383430776 L(r)(E,1)/r!
Ω 0.36298691715388 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 95760dz2 1995c2 29925bd2 41895bu2 Quadratic twists by: -4 -3 5 -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
Back to Tables and computations