Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81356f |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3405600 |
Modular degree for the optimal curve |
Δ |
1.2950886839206E+21 |
Discriminant |
Eigenvalues |
2- 0 0 -5 11- 0 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2782745,441025329] |
[a1,a2,a3,a4,a6] |
Generators |
[9245:874577:1] |
Generators of the group modulo torsion |
j |
296352000/161051 |
j-invariant |
L |
4.7142794638664 |
L(r)(E,1)/r! |
Ω |
0.13323247787871 |
Real period |
R |
1.179462029804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81356e1 |
Quadratic twists by: -43 |