Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050x |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
104509440 |
Modular degree for the optimal curve |
Δ |
-3.4210277650812E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-708256650,-7781893150500] |
[a1,a2,a3,a4,a6] |
Generators |
[28033079230:6697340318885:405224] |
Generators of the group modulo torsion |
j |
-20782141595587068688417129/1809469231117340625000 |
j-invariant |
L |
4.0149553822551 |
L(r)(E,1)/r! |
Ω |
0.01456024543249 |
Real period |
R |
15.319321387845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998890733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cj1 127050fe1 |
Quadratic twists by: 5 -11 |