Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140c |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3571200 |
Modular degree for the optimal curve |
Δ |
5.4873850952778E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35835521,82504309670] |
[a1,a2,a3,a4,a6] |
Generators |
[90075849355756736402:12818856461630312851626:4145581121367707] |
Generators of the group modulo torsion |
j |
179551401487197159424/193592864403125 |
j-invariant |
L |
8.1269535762639 |
L(r)(E,1)/r! |
Ω |
0.13493900922854 |
Real period |
R |
30.113432812065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3740c1 |
Quadratic twists by: -11 |