Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760l |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1109701296000000 = -1 · 210 · 38 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32763,2789062] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:2232:1] |
Generators of the group modulo torsion |
j |
-5210113839844/1486546875 |
j-invariant |
L |
6.5310126591288 |
L(r)(E,1)/r! |
Ω |
0.46436338408129 |
Real period |
R |
1.7580554573139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920bi2 |
Quadratic twists by: -3 |