Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506s |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1186869989818968576 = 29 · 3 · 1110 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-797005102,8660369759072] |
[a1,a2,a3,a4,a6] |
j |
2158639721565356908417/45758976 |
j-invariant |
L |
3.8443244518588 |
L(r)(E,1)/r! |
Ω |
0.14238238710588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518cd2 22506bn2 |
Quadratic twists by: -3 -11 |