Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90160cd |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-426941162060000000 = -1 · 28 · 57 · 79 · 232 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,146739,22758961] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:686:1] [208:7889:1] |
Generators of the group modulo torsion |
j |
11601902526464/14175546875 |
j-invariant |
L |
8.030043899302 |
L(r)(E,1)/r! |
Ω |
0.19962523578801 |
Real period |
R |
2.5140996916509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540e1 12880z1 |
Quadratic twists by: -4 -7 |