Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31046j |
Isogeny class |
Conductor |
31046 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
1.0508669250484E+20 |
Discriminant |
Eigenvalues |
2- 0 2 0 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11214894,-14444537539] |
[a1,a2,a3,a4,a6] |
Generators |
[-1393623:2442763:729] |
Generators of the group modulo torsion |
j |
483422418304587/325660672 |
j-invariant |
L |
10.135379942288 |
L(r)(E,1)/r! |
Ω |
0.082502731201351 |
Real period |
R |
6.8249457352657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31046b1 |
Quadratic twists by: -19 |