Atkin-Lehner |
3+ 5+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
112575c |
Isogeny class |
Conductor |
112575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33767223046875 = 36 · 58 · 19 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8088,11406] |
[a1,a2,a3,a4,a6] |
j |
3744815880889/2161102275 |
j-invariant |
L |
2.2277726873984 |
L(r)(E,1)/r! |
Ω |
0.55694357650349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22515c2 |
Quadratic twists by: 5 |