Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725v |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3212078188623046875 = -1 · 313 · 511 · 113 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3415800,-2431420344] |
[a1,a2,a3,a4,a6] |
j |
-386948760982257664/281993146875 |
j-invariant |
L |
0.66628295998875 |
L(r)(E,1)/r! |
Ω |
0.055523581151273 |
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 |
25575h1 15345j1 |
Quadratic twists by: -3 5 |