Atkin-Lehner |
2- 3+ 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bj |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
180220072500000 = 25 · 33 · 57 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25838,1451531] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1547:1] |
Generators of the group modulo torsion |
j |
122090372373529/11534084640 |
j-invariant |
L |
8.181141790767 |
L(r)(E,1)/r! |
Ω |
0.55424445825508 |
Real period |
R |
0.24601484278333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010f1 |
Quadratic twists by: 5 |