Atkin-Lehner |
3- 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925v |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-19124859375 = -1 · 36 · 56 · 23 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,649,1973] |
[a1,a2,a3,a4,a6] |
j |
1939096223/1223991 |
j-invariant |
L |
4.5504420251504 |
L(r)(E,1)/r! |
Ω |
0.75840686215704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037d1 |
Quadratic twists by: 5 |