Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
80496q |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-20217585696048 = -1 · 24 · 37 · 132 · 434 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4026,-237629] |
[a1,a2,a3,a4,a6] |
Generators |
[676368:7771855:4096] |
Generators of the group modulo torsion |
j |
-618724784128/1733332107 |
j-invariant |
L |
5.3402490616553 |
L(r)(E,1)/r! |
Ω |
0.27781990095566 |
Real period |
R |
9.6109908701492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248u1 26832j1 |
Quadratic twists by: -4 -3 |