Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882ba |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
414805489029808128 = 216 · 39 · 75 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-544835,151793731] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:14962:1] |
Generators of the group modulo torsion |
j |
908712848139244875/21074302140416 |
j-invariant |
L |
11.656214026997 |
L(r)(E,1)/r! |
Ω |
0.29839280415267 |
Real period |
R |
0.48829151213913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000001226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882d1 |
Quadratic twists by: -3 |