Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fg |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
2.1575586757106E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37938605,-89933812603] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
4.3798759018578 |
L(r)(E,1)/r! |
Ω |
0.060831609766163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150y1 10890v1 4950h1 |
Quadratic twists by: -3 5 -11 |