Atkin-Lehner |
2+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104f |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9784320 |
Modular degree for the optimal curve |
Δ |
-5.0272315889297E+21 |
Discriminant |
Eigenvalues |
2+ -2 4 -5 11+ -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11393601,15186848287] |
[a1,a2,a3,a4,a6] |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
0.54373395105024 |
L(r)(E,1)/r! |
Ω |
0.13593348724344 |
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 |
71104s1 8888c1 |
Quadratic twists by: -4 8 |