Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ci |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19875903897600 = 216 · 38 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20748,-1130128] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:88:1] |
Generators of the group modulo torsion |
j |
20674973956/416025 |
j-invariant |
L |
5.5702793847102 |
L(r)(E,1)/r! |
Ω |
0.39827829635819 |
Real period |
R |
3.4964743569951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713726 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840ex2 15480o2 41280y2 |
Quadratic twists by: -4 8 -3 |