Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904j |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-1.3257043011975E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -1 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1239087,5564606211] |
[a1,a2,a3,a4,a6] |
Generators |
[8922:839523:1] |
Generators of the group modulo torsion |
j |
-3287376833562958638592/207141297062111079939 |
j-invariant |
L |
4.811091628898 |
L(r)(E,1)/r! |
Ω |
0.10404534792937 |
Real period |
R |
0.77067223113841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904f1 41952f1 |
Quadratic twists by: -4 8 |