Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296bq |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[-57:216:1] [-11:336:1] |
Generators of the group modulo torsion |
j |
-15267472418/14752773 |
j-invariant |
L |
10.294868729689 |
L(r)(E,1)/r! |
Ω |
0.75777761595844 |
Real period |
R |
0.56606694987294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79296p1 19824i1 |
Quadratic twists by: -4 8 |