Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690cb |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.8155385072043E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32151545,-70060075575] |
[a1,a2,a3,a4,a6] |
j |
152277495831664137649/282362258900400 |
j-invariant |
L |
4.0581438785141 |
L(r)(E,1)/r! |
Ω |
0.063408498213564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570s3 |
Quadratic twists by: 17 |