Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bf |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.5607201004492E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9091079776,-333720570712724] |
[a1,a2,a3,a4,a6] |
j |
-344867227952667337693026722/106278133392333984375 |
j-invariant |
L |
0.55659697238781 |
L(r)(E,1)/r! |
Ω |
0.0077305014000029 |
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 |
15960p2 |
Quadratic twists by: -7 |