Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bj |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
1249972848649046016 = 211 · 33 · 113 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-450044,-102894657] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:3809:1] |
Generators of the group modulo torsion |
j |
280508429026388529/34782337107968 |
j-invariant |
L |
10.826641128974 |
L(r)(E,1)/r! |
Ω |
0.18582556524919 |
Real period |
R |
0.66207258761303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41382b2 41382a2 |
Quadratic twists by: -3 -11 |