Atkin-Lehner |
2+ 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450r |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
162953856000 = 210 · 35 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132665,18543525] |
[a1,a2,a3,a4,a6] |
j |
2065798216838635469/1303630848 |
j-invariant |
L |
1.6867881375747 |
L(r)(E,1)/r! |
Ω |
0.84339406881887 |
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 |
60450da1 |
Quadratic twists by: 5 |