Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bk |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
45373157121600 = 26 · 314 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17373,819628] |
[a1,a2,a3,a4,a6] |
j |
12429128234944/972504225 |
j-invariant |
L |
2.4993373901481 |
L(r)(E,1)/r! |
Ω |
0.62483420184393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880cu1 36960bu1 |
Quadratic twists by: -4 -3 |