Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fi |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
1.0548064636808E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139623980,-634793878353] |
[a1,a2,a3,a4,a6] |
j |
123286270205329/43200000 |
j-invariant |
L |
3.1622862598793 |
L(r)(E,1)/r! |
Ω |
0.043920642465372 |
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 |
18150e1 10890y1 54450bx1 |
Quadratic twists by: -3 5 -11 |