Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072o |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5404757977332E+19 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3039259,2048111118] |
[a1,a2,a3,a4,a6] |
Generators |
[-245095:2707254:125] |
Generators of the group modulo torsion |
j |
-128894765196744/639533521 |
j-invariant |
L |
6.1617020493695 |
L(r)(E,1)/r! |
Ω |
0.22226923844847 |
Real period |
R |
6.9304483749014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000194405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127072j2 6688a2 |
Quadratic twists by: -4 -19 |