Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fz |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-31325888160 = -1 · 25 · 39 · 5 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48677,4145789] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-92:1] |
Generators of the group modulo torsion |
j |
-51011149817503/125280 |
j-invariant |
L |
13.135902876859 |
L(r)(E,1)/r! |
Ω |
1.0141386189782 |
Real period |
R |
0.32381921554152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630bn1 127890eu1 |
Quadratic twists by: -3 -7 |