Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775u |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
-8.7265249253286E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1240805,-696120678] |
[a1,a2,a3,a4,a6] |
j |
-20031348636938835/8274038447719 |
j-invariant |
L |
1.54225027635 |
L(r)(E,1)/r! |
Ω |
0.070102284226167 |
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 |
71775k1 71775j1 |
Quadratic twists by: -3 5 |