Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920bn |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
-3.9528045320602E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3590496,3999729780] |
[a1,a2,a3,a4,a6] |
Generators |
[4986:331776:1] |
Generators of the group modulo torsion |
j |
-1249761744922780803169/965040168960000000 |
j-invariant |
L |
6.5070773988916 |
L(r)(E,1)/r! |
Ω |
0.12791111395649 |
Real period |
R |
1.1561788348774 |
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 |
3990r1 127680em1 95760er1 |
Quadratic twists by: -4 8 -3 |