Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bo |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-7.0567039119077E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1030330,-35743993] |
[a1,a2,a3,a4,a6] |
Generators |
[2417:127561:1] |
Generators of the group modulo torsion |
j |
418557259677940327871/244176605948362500 |
j-invariant |
L |
7.3202921340258 |
L(r)(E,1)/r! |
Ω |
0.11494864041966 |
Real period |
R |
6.3683155429563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60690bx1 |
Quadratic twists by: 17 |