Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ge |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.1720071818675E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4727712,-4285772084] |
[a1,a2,a3,a4,a6] |
Generators |
[11102:1145250:1] |
Generators of the group modulo torsion |
j |
-292124360704/29296875 |
j-invariant |
L |
8.657529542128 |
L(r)(E,1)/r! |
Ω |
0.05090321003627 |
Real period |
R |
4.2519565726992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21780bb1 29040da1 87120gg1 |
Quadratic twists by: -4 -3 -11 |