Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168f |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
1950514176 = 210 · 3 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 2 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4584,-117924] |
[a1,a2,a3,a4,a6] |
Generators |
[-189550:19188:4913] |
Generators of the group modulo torsion |
j |
36004308772/6591 |
j-invariant |
L |
8.0050537791362 |
L(r)(E,1)/r! |
Ω |
0.58021009172909 |
Real period |
R |
6.8984096451839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90168n1 |
Quadratic twists by: 17 |