Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448bd |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
6880941338832 = 24 · 38 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4759,4970] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:363:1] |
Generators of the group modulo torsion |
j |
420616192/242757 |
j-invariant |
L |
7.579099273912 |
L(r)(E,1)/r! |
Ω |
0.63581560945401 |
Real period |
R |
0.74501742047439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
888b1 |
Quadratic twists by: -11 |