Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160cx |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
608261217320960000 = 220 · 54 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-233387,-21801766] |
[a1,a2,a3,a4,a6] |
Generators |
[-377:3550:1] |
Generators of the group modulo torsion |
j |
2917464019569/1262240000 |
j-invariant |
L |
7.2243638835454 |
L(r)(E,1)/r! |
Ω |
0.22592473682931 |
Real period |
R |
3.9971076088374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270o1 12880m1 |
Quadratic twists by: -4 -7 |