Atkin-Lehner |
2- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150m |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
349920 |
Modular degree for the optimal curve |
Δ |
1881791875000000 = 26 · 510 · 29 · 473 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130013,17868531] |
[a1,a2,a3,a4,a6] |
j |
24887668665625/192695488 |
j-invariant |
L |
2.8254943007012 |
L(r)(E,1)/r! |
Ω |
0.47091571564468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68150i1 |
Quadratic twists by: 5 |