Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990bo |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
3444411207656250000 = 24 · 310 · 510 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1765067,898602059] |
[a1,a2,a3,a4,a6] |
Generators |
[-1383:27016:1] |
Generators of the group modulo torsion |
j |
834217967047096401769/4724843906250000 |
j-invariant |
L |
11.291970680235 |
L(r)(E,1)/r! |
Ω |
0.25185077457085 |
Real period |
R |
1.1208989429788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18330g2 |
Quadratic twists by: -3 |