Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400k |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1294336000000 = -1 · 220 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1567,48737] |
[a1,a2,a3,a4,a6] |
Generators |
[3009:34100:27] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
11.751801907387 |
L(r)(E,1)/r! |
Ω |
0.60602372066844 |
Real period |
R |
4.847913305335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400ch1 3950d1 5056f1 |
Quadratic twists by: -4 8 5 |