Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
123872d |
Isogeny class |
Conductor |
123872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-16118199122368 = -1 · 26 · 79 · 792 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3022,183280] |
[a1,a2,a3,a4,a6] |
j |
405224000/2140663 |
j-invariant |
L |
1.0037571473039 |
L(r)(E,1)/r! |
Ω |
0.50187832190305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123872n1 17696c1 |
Quadratic twists by: -4 -7 |