Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496bb |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2523308112 = 24 · 38 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 4 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,3247] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:567:8] |
Generators of the group modulo torsion |
j |
1048576000/216333 |
j-invariant |
L |
8.9466064889808 |
L(r)(E,1)/r! |
Ω |
1.3681255723779 |
Real period |
R |
3.2696583816484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20124d1 26832o1 |
Quadratic twists by: -4 -3 |