Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575v |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9289728 |
Modular degree for the optimal curve |
Δ |
-1.1070327656744E+24 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12232917,-53230143384] |
[a1,a2,a3,a4,a6] |
j |
-17773226067995349769/97188061732734375 |
j-invariant |
L |
2.6119976230207 |
L(r)(E,1)/r! |
Ω |
0.036277744767072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18525q1 11115h1 |
Quadratic twists by: -3 5 |