Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ca |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
45005075783712000 = 28 · 38 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6530007,6422705894] |
[a1,a2,a3,a4,a6] |
j |
93141032522704/136125 |
j-invariant |
L |
3.669482032915 |
L(r)(E,1)/r! |
Ω |
0.30579016849856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560cn2 29040e2 7920t2 |
Quadratic twists by: -4 -3 -11 |