Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bn |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
49593600 |
Modular degree for the optimal curve |
Δ |
-1.030075872221E+24 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- -3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-962857137,11499919746865] |
[a1,a2,a3,a4,a6] |
Generators |
[11121:1472207:1] |
Generators of the group modulo torsion |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
4.0396850855685 |
L(r)(E,1)/r! |
Ω |
0.079274136621625 |
Real period |
R |
1.213295812328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132b1 9108t1 |
Quadratic twists by: -3 -11 |