Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370do |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-37573200 = -1 · 24 · 33 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-295] |
[a1,a2,a3,a4,a6] |
Generators |
[8:11:1] |
Generators of the group modulo torsion |
j |
-2401/766800 |
j-invariant |
L |
11.218790453885 |
L(r)(E,1)/r! |
Ω |
0.93912184468753 |
Real period |
R |
0.49775181321838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370cn1 |
Quadratic twists by: -7 |