Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400bd |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
249095649088000 = 29 · 53 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114955,-14982450] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:114:1] [-191:78:1] |
Generators of the group modulo torsion |
j |
2624988079066536/3892119517 |
j-invariant |
L |
11.506479807696 |
L(r)(E,1)/r! |
Ω |
0.25930223538994 |
Real period |
R |
7.3957967688898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400bk2 114400k2 |
Quadratic twists by: -4 5 |