Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bu |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1625131185019759872 = 28 · 324 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1019847,-391641910] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:1980:1] |
Generators of the group modulo torsion |
j |
628581053646197584/8708050331253 |
j-invariant |
L |
5.1389374222768 |
L(r)(E,1)/r! |
Ω |
0.15035919677966 |
Real period |
R |
4.2722174632382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998683625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496j2 |
Quadratic twists by: -3 |