Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100300c |
Isogeny class |
Conductor |
100300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
460080 |
Modular degree for the optimal curve |
Δ |
-724667500000000 = -1 · 28 · 510 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1667,-1295463] |
[a1,a2,a3,a4,a6] |
j |
204800/289867 |
j-invariant |
L |
5.8991004914338 |
L(r)(E,1)/r! |
Ω |
0.23596403409649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100300m1 |
Quadratic twists by: 5 |