Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450m |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
8564244480000000 = 225 · 33 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190317,-31597659] |
[a1,a2,a3,a4,a6] |
j |
14934427706187/167772160 |
j-invariant |
L |
0.9149236967432 |
L(r)(E,1)/r! |
Ω |
0.22873092475408 |
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 |
54450ef1 10890bf1 54450eg1 |
Quadratic twists by: -3 5 -11 |