Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bj |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.381052792023E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2360408,91408731] |
[a1,a2,a3,a4,a6] |
j |
1995065897070466507321/1149664306176000000 |
j-invariant |
L |
4.3193595095172 |
L(r)(E,1)/r! |
Ω |
0.13497998910269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37230i2 |
Quadratic twists by: -3 |