Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bk |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
43794432 |
Modular degree for the optimal curve |
Δ |
-1.348108585988E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 11- 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1192265433,15845160876419] |
[a1,a2,a3,a4,a6] |
Generators |
[19953:4387:1] |
Generators of the group modulo torsion |
j |
-462482914449031168/3326427 |
j-invariant |
L |
4.9618425316679 |
L(r)(E,1)/r! |
Ω |
0.10491772244682 |
Real period |
R |
1.3136861499303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719g1 117975bv1 |
Quadratic twists by: 5 -11 |