Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770bz |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
333689869731109320 = 23 · 322 · 5 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-287596,-52575931] |
[a1,a2,a3,a4,a6] |
j |
1197408326551288957/151884328507560 |
j-invariant |
L |
4.9891115710209 |
L(r)(E,1)/r! |
Ω |
0.20787964871675 |
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 |
55770n2 |
Quadratic twists by: 13 |