Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580m |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
50438215981538000 = 24 · 53 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268781,52624706] |
[a1,a2,a3,a4,a6] |
j |
643956736/15125 |
j-invariant |
L |
0.7112391201977 |
L(r)(E,1)/r! |
Ω |
0.35561966103652 |
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 |
2420g1 10780f1 |
Quadratic twists by: -7 -11 |