Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360ba |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-199424595078000 = -1 · 24 · 35 · 53 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63676,-6243085] |
[a1,a2,a3,a4,a6] |
j |
-73934023936/516375 |
j-invariant |
L |
1.5020827231705 |
L(r)(E,1)/r! |
Ω |
0.15020827292974 |
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 |
34680a1 4080f1 |
Quadratic twists by: -4 17 |