Atkin-Lehner |
2- 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bg |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-1.0079847260271E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1221080,-708859920] |
[a1,a2,a3,a4,a6] |
j |
-49158256787653106521/24609002100270480 |
j-invariant |
L |
3.7878294555443 |
L(r)(E,1)/r! |
Ω |
0.070144986305692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810j1 |
Quadratic twists by: -4 |