Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400dk |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136320 |
Modular degree for the optimal curve |
Δ |
-755200000000 = -1 · 215 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -3 -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,-90000] |
[a1,a2,a3,a4,a6] |
j |
-370440/59 |
j-invariant |
L |
1.8459422608477 |
L(r)(E,1)/r! |
Ω |
0.30765705695789 |
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 |
94400dc1 47200x1 94400cn1 |
Quadratic twists by: -4 8 5 |