Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266ba |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1580544 |
Modular degree for the optimal curve |
Δ |
5.686814975149E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24955642,-47972889628] |
[a1,a2,a3,a4,a6] |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
5.6740776792908 |
L(r)(E,1)/r! |
Ω |
0.067548543801081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57798v1 1482d1 |
Quadratic twists by: -3 13 |