Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258z |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-571689820944 = -1 · 24 · 35 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- 6 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1031,-38631] |
[a1,a2,a3,a4,a6] |
j |
-68417929/322704 |
j-invariant |
L |
7.6280241744606 |
L(r)(E,1)/r! |
Ω |
0.38140120859895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
498b1 |
Quadratic twists by: -11 |