Atkin-Lehner |
2- 3- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650do |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-113951559375000 = -1 · 23 · 34 · 58 · 233 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -7 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17638,-1039108] |
[a1,a2,a3,a4,a6] |
j |
-1553507059585/291715992 |
j-invariant |
L |
7.3817983969957 |
L(r)(E,1)/r! |
Ω |
0.20504992280139 |
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 |
127650o1 |
Quadratic twists by: 5 |