Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ci |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
982933357654161936 = 24 · 38 · 1110 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249404,-4731537] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:3519:1] |
Generators of the group modulo torsion |
j |
1328460616657/761097744 |
j-invariant |
L |
10.628565326034 |
L(r)(E,1)/r! |
Ω |
0.23172137566378 |
Real period |
R |
5.7334834214093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13794i2 3762d2 |
Quadratic twists by: -3 -11 |