Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400ba |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
808960 |
Modular degree for the optimal curve |
Δ |
108345125000000 = 26 · 59 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400958,97855412] |
[a1,a2,a3,a4,a6] |
Generators |
[-722:3234:1] |
Generators of the group modulo torsion |
j |
57031058391488/866761 |
j-invariant |
L |
10.222320961605 |
L(r)(E,1)/r! |
Ω |
0.54358583823633 |
Real period |
R |
4.7013370602104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400co1 106400cs1 |
Quadratic twists by: -4 5 |