Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
90246u |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1072246658496 = -1 · 26 · 3 · 137 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -1 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26790,-1690716] |
[a1,a2,a3,a4,a6] |
Generators |
[1340:48002:1] |
Generators of the group modulo torsion |
j |
-440537367529/222144 |
j-invariant |
L |
13.53546717298 |
L(r)(E,1)/r! |
Ω |
0.186579171647 |
Real period |
R |
3.022726458615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942f1 |
Quadratic twists by: 13 |