Atkin-Lehner |
2+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728a |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-7188762853376 = -1 · 219 · 133 · 792 |
Discriminant |
Eigenvalues |
2+ 1 1 3 -4 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2057825,-1136901889] |
[a1,a2,a3,a4,a6] |
Generators |
[208609374641:1488637860064:124251499] |
Generators of the group modulo torsion |
j |
-3676286237182512409/27422954 |
j-invariant |
L |
7.9739024625843 |
L(r)(E,1)/r! |
Ω |
0.063025664237236 |
Real period |
R |
15.814792591018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728p1 2054a1 |
Quadratic twists by: -4 8 |