Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568a |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1959552 |
Modular degree for the optimal curve |
Δ |
-1.8476126694697E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 6 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179160,208915596] |
[a1,a2,a3,a4,a6] |
j |
-53868517682/1564936281 |
j-invariant |
L |
1.6380524509365 |
L(r)(E,1)/r! |
Ω |
0.18200582783825 |
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 |
101136k1 50568j1 |
Quadratic twists by: -4 -7 |