Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114376b |
Isogeny class |
Conductor |
114376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-176029634323456 = -1 · 210 · 172 · 296 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13176,257564] |
[a1,a2,a3,a4,a6] |
Generators |
[368810:5883636:2197] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
8.9824448240556 |
L(r)(E,1)/r! |
Ω |
0.36090868330155 |
Real period |
R |
6.2221035706046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
136a2 |
Quadratic twists by: 29 |