Atkin-Lehner |
2- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21142b |
Isogeny class |
Conductor |
21142 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-1.9199053991374E+19 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 11+ 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,345299,195727125] |
[a1,a2,a3,a4,a6] |
Generators |
[783:30360:1] |
Generators of the group modulo torsion |
j |
5130275528223/21632647168 |
j-invariant |
L |
5.5080836942856 |
L(r)(E,1)/r! |
Ω |
0.15513063401738 |
Real period |
R |
0.93437103393782 |
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 |
682b1 |
Quadratic twists by: -31 |