Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136be |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-53934745710223872 = -1 · 29 · 314 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71499,13379038] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:4446:1] [-91:4374:1] |
Generators of the group modulo torsion |
j |
-108299418804296/144501097689 |
j-invariant |
L |
10.457140825316 |
L(r)(E,1)/r! |
Ω |
0.31949779046619 |
Real period |
R |
2.0456207244101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71136h2 23712h2 |
Quadratic twists by: -4 -3 |