Atkin-Lehner |
2- 3- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422w |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4852618319016 = -1 · 23 · 39 · 135 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -5 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19652,1070543] |
[a1,a2,a3,a4,a6] |
Generators |
[87:73:1] |
Generators of the group modulo torsion |
j |
-1151319159547129/6656540904 |
j-invariant |
L |
8.1038170039987 |
L(r)(E,1)/r! |
Ω |
0.77401738203592 |
Real period |
R |
0.34899375613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474i1 |
Quadratic twists by: -3 |