Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950je |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
152259072000000000 = 218 · 3 · 59 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165138,-17754108] |
[a1,a2,a3,a4,a6] |
j |
743431192379/227278848 |
j-invariant |
L |
8.7287368583253 |
L(r)(E,1)/r! |
Ω |
0.24246492157723 |
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 |
124950by1 124950gr1 |
Quadratic twists by: 5 -7 |