Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040j |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-358823928581324800 = -1 · 230 · 52 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11+ -7 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120064,-24002560] |
[a1,a2,a3,a4,a6] |
j |
46730300206447871/87603498188800 |
j-invariant |
L |
2.5314356429759 |
L(r)(E,1)/r! |
Ω |
0.15821472631937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130g1 |
Quadratic twists by: -4 |