Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
116200q |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4569600 |
Modular degree for the optimal curve |
Δ |
-1.37866422505E+21 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 0 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2257008,-2213142512] |
[a1,a2,a3,a4,a6] |
Generators |
[146052:4305625:64] |
Generators of the group modulo torsion |
j |
-79470000769733284/86166514065625 |
j-invariant |
L |
4.583060893381 |
L(r)(E,1)/r! |
Ω |
0.059062085766603 |
Real period |
R |
1.9399335882593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999857147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240c1 |
Quadratic twists by: 5 |