Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877a |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
150720207406021953 = 35 · 74 · 172 · 197 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2568997664,50116923348987] |
[a1,a2,a3,a4,a6] |
j |
39855956368379837196953233/3203685513 |
j-invariant |
L |
0.2501577168505 |
L(r)(E,1)/r! |
Ω |
0.12507807882429 |
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 |
6783c3 |
Quadratic twists by: -19 |