Atkin-Lehner |
2+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160v |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-265180846000 = -1 · 24 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 -6 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2515,55350] |
[a1,a2,a3,a4,a6] |
j |
-19081216/2875 |
j-invariant |
L |
2.8420683646443 |
L(r)(E,1)/r! |
Ω |
0.94735610325155 |
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 |
45080j1 90160m1 |
Quadratic twists by: -4 -7 |