Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bt |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
70591382593536000 = 216 · 3 · 53 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-293341,-59824975] |
[a1,a2,a3,a4,a6] |
Generators |
[-7422:10237:27] |
Generators of the group modulo torsion |
j |
115650783909361/2924544000 |
j-invariant |
L |
10.765875158295 |
L(r)(E,1)/r! |
Ω |
0.20545944129921 |
Real period |
R |
6.5498785856649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570u1 |
Quadratic twists by: 17 |