Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400ba |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
314600000000 = 29 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 11- 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3008,56488] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:198:1] [-2:250:1] |
Generators of the group modulo torsion |
j |
376367048/39325 |
j-invariant |
L |
8.3410763700052 |
L(r)(E,1)/r! |
Ω |
0.9381860005795 |
Real period |
R |
2.2226606362657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400w2 22880c2 |
Quadratic twists by: -4 5 |