Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bo |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6589868400000000 = 210 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138675,19489250] |
[a1,a2,a3,a4,a6] |
Generators |
[115:2250:1] |
Generators of the group modulo torsion |
j |
25285452196/564975 |
j-invariant |
L |
4.4765404399256 |
L(r)(E,1)/r! |
Ω |
0.42157369700283 |
Real period |
R |
1.3273303235844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800m2 37200f2 22320r2 |
Quadratic twists by: -4 -3 5 |