Atkin-Lehner |
3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575bp |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
6374478515625 = 36 · 59 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22505,-1288128] |
[a1,a2,a3,a4,a6] |
j |
110661134401/559625 |
j-invariant |
L |
1.559636728559 |
L(r)(E,1)/r! |
Ω |
0.38990922303966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10175e1 18315l1 |
Quadratic twists by: -3 5 |