Atkin-Lehner |
2- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127300g |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-154796800 = -1 · 28 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 4 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,-583] |
[a1,a2,a3,a4,a6] |
j |
5120000/24187 |
j-invariant |
L |
7.3563472253484 |
L(r)(E,1)/r! |
Ω |
0.91954330648511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127300m1 |
Quadratic twists by: 5 |