Atkin-Lehner |
2- 3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390bc |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-33629681250 = -1 · 2 · 36 · 55 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33413,2359167] |
[a1,a2,a3,a4,a6] |
j |
-5658879034254601/46131250 |
j-invariant |
L |
4.1869527547144 |
L(r)(E,1)/r! |
Ω |
1.0467381894127 |
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 |
6710e1 |
Quadratic twists by: -3 |