Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bq |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5150970000 = 24 · 32 · 54 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-470,-2025] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] |
Generators of the group modulo torsion |
j |
719152519936/321935625 |
j-invariant |
L |
10.879557210267 |
L(r)(E,1)/r! |
Ω |
1.0688901646715 |
Real period |
R |
1.2722959670786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28380c1 |
Quadratic twists by: -4 |