Atkin-Lehner |
2- 3+ 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39606j |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1034400 |
Modular degree for the optimal curve |
Δ |
-1.1834686666735E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-913583,-375026047] |
[a1,a2,a3,a4,a6] |
j |
-84327217551331920096625/11834686666734742188 |
j-invariant |
L |
0.45968905258865 |
L(r)(E,1)/r! |
Ω |
0.076614842105608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818d1 |
Quadratic twists by: -3 |