Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200l |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2580660000000 = 28 · 37 · 57 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,146500] |
[a1,a2,a3,a4,a6] |
Generators |
[80:450:1] [-46:558:1] |
Generators of the group modulo torsion |
j |
7023616/885 |
j-invariant |
L |
10.789040042087 |
L(r)(E,1)/r! |
Ω |
0.78269607362538 |
Real period |
R |
0.21538213406484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400p1 21240h1 |
Quadratic twists by: -3 5 |