Atkin-Lehner |
2- 3+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ch |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-18584555739750000 = -1 · 24 · 39 · 56 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31943,6925231] |
[a1,a2,a3,a4,a6] |
j |
-183124637435403/944193250000 |
j-invariant |
L |
5.3670714169122 |
L(r)(E,1)/r! |
Ω |
0.33544196242407 |
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 |
90090i1 |
Quadratic twists by: -3 |