Atkin-Lehner |
2+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21538a |
Isogeny class |
Conductor |
21538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19982329385744 = -1 · 24 · 116 · 893 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67037,6678472] |
[a1,a2,a3,a4,a6] |
j |
-18806241149857/11279504 |
j-invariant |
L |
2.7061149633709 |
L(r)(E,1)/r! |
Ω |
0.67652874084272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
178a2 |
Quadratic twists by: -11 |