Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
60690x |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.7695508949911E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4176766,-19970215468] |
[a1,a2,a3,a4,a6] |
j |
1155188682445031/25367150592000 |
j-invariant |
L |
2.6582610418883 |
L(r)(E,1)/r! |
Ω |
0.04922705631195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690o2 |
Quadratic twists by: 17 |