Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296p |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1933675462656 = -1 · 217 · 36 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2625,-85473] |
[a1,a2,a3,a4,a6] |
j |
-15267472418/14752773 |
j-invariant |
L |
3.8502639072226 |
L(r)(E,1)/r! |
Ω |
0.32085532947335 |
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 |
79296bq1 9912j1 |
Quadratic twists by: -4 8 |