Atkin-Lehner |
2+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850i |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
5967872000000 = 218 · 56 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5026,-71052] |
[a1,a2,a3,a4,a6] |
j |
898352786449/381943808 |
j-invariant |
L |
0.58910037370092 |
L(r)(E,1)/r! |
Ω |
0.58910037351701 |
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 |
2914h1 |
Quadratic twists by: 5 |