Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786s |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74718715032 = 23 · 310 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114777,-14938187] |
[a1,a2,a3,a4,a6] |
j |
18852954158375/8424 |
j-invariant |
L |
2.0750362900421 |
L(r)(E,1)/r! |
Ω |
0.25937951369807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262u2 123786r2 |
Quadratic twists by: -3 -23 |