Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520w |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
7260840000 = 26 · 37 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,3836] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-180:1] |
Generators of the group modulo torsion |
j |
504358336/155625 |
j-invariant |
L |
8.1424926107418 |
L(r)(E,1)/r! |
Ω |
1.2259964088072 |
Real period |
R |
0.83019131414246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520k1 39840a1 |
Quadratic twists by: -4 -3 |