Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400dd |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
237312 |
Modular degree for the optimal curve |
Δ |
1009789770000 = 24 · 3 · 54 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2508,-1587] |
[a1,a2,a3,a4,a6] |
j |
174533766400/100978977 |
j-invariant |
L |
2.9580309506121 |
L(r)(E,1)/r! |
Ω |
0.73950741215576 |
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 |
125400e1 |
Quadratic twists by: 5 |