Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050hr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6499093323318750000 = 24 · 32 · 58 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25579463,-49796924583] |
[a1,a2,a3,a4,a6] |
j |
50239324280699/176400 |
j-invariant |
L |
8.592841500057 |
L(r)(E,1)/r! |
Ω |
0.067131567873657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410c2 127050cl2 |
Quadratic twists by: 5 -11 |