Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130r |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-767440225200 = -1 · 24 · 3 · 52 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-958,-43744] |
[a1,a2,a3,a4,a6] |
j |
-268943595121/2125873200 |
j-invariant |
L |
3.0266166528286 |
L(r)(E,1)/r! |
Ω |
0.37832717634516 |
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 |
119130be1 |
Quadratic twists by: -19 |