Atkin-Lehner |
3- 5+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265q |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4983229062387556695 = 312 · 5 · 112 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-402238395,-3104983761390] |
[a1,a2,a3,a4,a6] |
j |
9872945819633267886876819121/6835705161025455 |
j-invariant |
L |
1.0787714553096 |
L(r)(E,1)/r! |
Ω |
0.033711546333483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755u4 |
Quadratic twists by: -3 |