Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bl |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
15237120 |
Modular degree for the optimal curve |
Δ |
-1.1117943752491E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5367563,16739028281] |
[a1,a2,a3,a4,a6] |
Generators |
[-941:145238:1] |
Generators of the group modulo torsion |
j |
-1094548834209334320361/7115484001594245120 |
j-invariant |
L |
8.1688697062301 |
L(r)(E,1)/r! |
Ω |
0.090850948788321 |
Real period |
R |
2.2478768283828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001856 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530q1 |
Quadratic twists by: 5 |