Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200w |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-32300000000 = -1 · 28 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3833,-93037] |
[a1,a2,a3,a4,a6] |
j |
-62295040/323 |
j-invariant |
L |
0.30327598198877 |
L(r)(E,1)/r! |
Ω |
0.30327788641324 |
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 |
64600z1 129200j1 |
Quadratic twists by: -4 5 |