Atkin-Lehner |
2- 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180s |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
900 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
1.9420203030862E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-722352,-104333596] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:8118:1] [-752:3690:1] |
Generators of the group modulo torsion |
j |
223358691747364864/104060587228125 |
j-invariant |
L |
10.944974739355 |
L(r)(E,1)/r! |
Ω |
0.1712913805712 |
Real period |
R |
0.070996468142442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060a1 |
Quadratic twists by: -3 |