Atkin-Lehner |
2- 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150cf |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
360000 |
Modular degree for the optimal curve |
Δ |
113401200000000 = 210 · 3 · 58 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13013,-253983] |
[a1,a2,a3,a4,a6] |
j |
623875674865/290307072 |
j-invariant |
L |
4.675017976955 |
L(r)(E,1)/r! |
Ω |
0.46750186966567 |
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 |
117150c1 |
Quadratic twists by: 5 |