Atkin-Lehner |
3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775bp |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1778197587890625 = -1 · 39 · 510 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 11- 0 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-438867,112032666] |
[a1,a2,a3,a4,a6] |
j |
-1313092965625/249777 |
j-invariant |
L |
3.6547560209977 |
L(r)(E,1)/r! |
Ω |
0.45684450192779 |
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 |
23925q1 71775cf1 |
Quadratic twists by: -3 5 |