Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bp |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1756556885491200000 = -1 · 212 · 37 · 55 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7578861,8028438939] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:18252:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
7.183386026094 |
L(r)(E,1)/r! |
Ω |
0.24801782976989 |
Real period |
R |
0.51719971325735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81120bb1 6240p1 |
Quadratic twists by: -4 13 |