Atkin-Lehner |
2- 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bx |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-67607910912000 = -1 · 212 · 3 · 53 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76200,8080500] |
[a1,a2,a3,a4,a6] |
j |
-11946326430565801/16505837625 |
j-invariant |
L |
3.7022192117305 |
L(r)(E,1)/r! |
Ω |
0.61703667441013 |
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 |
7905c1 |
Quadratic twists by: -4 |