Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800m |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
13520000000 = 210 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28133,1825637] |
[a1,a2,a3,a4,a6] |
Generators |
[277:3900:1] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
6.4329121493875 |
L(r)(E,1)/r! |
Ω |
1.1159166614433 |
Real period |
R |
1.4411721707487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800cp1 1300d1 4160h1 |
Quadratic twists by: -4 8 5 |