Atkin-Lehner |
2+ 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030m |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3445086905910000 = -1 · 24 · 37 · 54 · 13 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13635,-2760075] |
[a1,a2,a3,a4,a6] |
j |
384541923270959/4725770790000 |
j-invariant |
L |
1.7500776056068 |
L(r)(E,1)/r! |
Ω |
0.21875970185559 |
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 |
23010t3 |
Quadratic twists by: -3 |