Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690w |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1230523612592400 = 24 · 32 · 52 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35409,-1933868] |
[a1,a2,a3,a4,a6] |
Generators |
[-1066:5731:8] |
Generators of the group modulo torsion |
j |
203401212841/50979600 |
j-invariant |
L |
5.2722942460404 |
L(r)(E,1)/r! |
Ω |
0.35443739673937 |
Real period |
R |
3.7187767816211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998296 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570g2 |
Quadratic twists by: 17 |