Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bw |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-8.6019835173179E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,884334,310979076] |
[a1,a2,a3,a4,a6] |
j |
3168685387909439/3563732336640 |
j-invariant |
L |
6.1189679326131 |
L(r)(E,1)/r! |
Ω |
0.12747849863613 |
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 |
3570t1 |
Quadratic twists by: 17 |