Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456bd |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
2.2918232443547E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5892771,-5000966750] |
[a1,a2,a3,a4,a6] |
Generators |
[2499908:-493102809:64] |
Generators of the group modulo torsion |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
4.3627692571388 |
L(r)(E,1)/r! |
Ω |
0.097531801148245 |
Real period |
R |
11.182940349055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11682k1 31152bg1 |
Quadratic twists by: -4 -3 |