Atkin-Lehner |
2- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10064a |
Isogeny class |
Conductor |
10064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-744574976 = -1 · 212 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 0 1 1 5 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,173,978] |
[a1,a2,a3,a4,a6] |
j |
139798359/181781 |
j-invariant |
L |
2.153158114114 |
L(r)(E,1)/r! |
Ω |
1.076579057057 |
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 |
629a1 40256v1 90576bq1 |
Quadratic twists by: -4 8 -3 |