Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64736w |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-1225054618758656 = -1 · 29 · 73 · 178 |
Discriminant |
Eigenvalues |
2- -1 1 7- -4 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27840,-2446856] |
[a1,a2,a3,a4,a6] |
j |
-668168/343 |
j-invariant |
L |
1.623864229219 |
L(r)(E,1)/r! |
Ω |
0.18042935955304 |
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 |
64736p1 129472dp1 64736k1 |
Quadratic twists by: -4 8 17 |