Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112k |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
35921969408 = 28 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 6 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161868,-25012384] |
[a1,a2,a3,a4,a6] |
j |
372926004194000/28561 |
j-invariant |
L |
3.8082816960561 |
L(r)(E,1)/r! |
Ω |
0.23801760610891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056e1 60112l1 |
Quadratic twists by: -4 17 |