Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865bc |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4325376 |
Modular degree for the optimal curve |
Δ |
491129828802585 = 38 · 5 · 710 · 53 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52611309,146894543928] |
[a1,a2,a3,a4,a6] |
j |
187778242790732059201/5726385 |
j-invariant |
L |
4.9977981707692 |
L(r)(E,1)/r! |
Ω |
0.27765546186072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38955k1 16695j1 |
Quadratic twists by: -3 -7 |