Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018be |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
18869760 |
Modular degree for the optimal curve |
Δ |
-1.4753970882117E+24 |
Discriminant |
Eigenvalues |
2- 1 1 3 4 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61071280,-192774653696] |
[a1,a2,a3,a4,a6] |
Generators |
[229776:109963600:1] |
Generators of the group modulo torsion |
j |
-110931033861649/6497214464 |
j-invariant |
L |
16.670519739048 |
L(r)(E,1)/r! |
Ω |
0.026911489366708 |
Real period |
R |
5.9563205837268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386e1 6422a1 |
Quadratic twists by: 13 -19 |