Atkin-Lehner |
3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199f |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8602384606419681 = 34 · 72 · 114 · 236 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150247,21904676] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:5382:1] |
Generators of the group modulo torsion |
j |
2533811507137/58110129 |
j-invariant |
L |
4.222390751555 |
L(r)(E,1)/r! |
Ω |
0.41220103498879 |
Real period |
R |
2.5608807125979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072689 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
231a3 |
Quadratic twists by: -23 |