Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
119520m |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13885049548800 = 212 · 39 · 52 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6588,-101088] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:108:1] |
Generators of the group modulo torsion |
j |
392223168/172225 |
j-invariant |
L |
6.5464710821981 |
L(r)(E,1)/r! |
Ω |
0.55174364521601 |
Real period |
R |
1.4831324223787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999537279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520b2 119520d2 |
Quadratic twists by: -4 -3 |