Atkin-Lehner |
2- 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650s |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
4974024438476562500 = 22 · 514 · 172 · 893 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-544255,111355747] |
[a1,a2,a3,a4,a6] |
j |
1141064569687705209/318337564062500 |
j-invariant |
L |
0.90553785416893 |
L(r)(E,1)/r! |
Ω |
0.22638447291408 |
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 |
15130b1 |
Quadratic twists by: 5 |