Cremona's table of elliptic curves

Curve 22560g2

22560 = 25 · 3 · 5 · 47



Data for elliptic curve 22560g2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 47- Signs for the Atkin-Lehner involutions
Class 22560g Isogeny class
Conductor 22560 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ -225600000000 = -1 · 212 · 3 · 58 · 47 Discriminant
Eigenvalues 2+ 3- 5+  4  0  2  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-81,-22881] [a1,a2,a3,a4,a6]
Generators [3598531355:-26330963568:59776471] Generators of the group modulo torsion
j -14526784/55078125 j-invariant
L 7.050506198622 L(r)(E,1)/r!
Ω 0.45118736342617 Real period
R 15.62655954077 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 22560m2 45120s1 67680ba2 112800bp2 Quadratic twists by: -4 8 -3 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
Back to Tables and computations