Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955g |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
-1268934326171875 = -1 · 513 · 114 · 71 |
Discriminant |
Eigenvalues |
-1 0 5- -3 11- -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10988,1652786] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-1591:1] |
Generators of the group modulo torsion |
j |
10021805673759/86669921875 |
j-invariant |
L |
1.7313911153111 |
L(r)(E,1)/r! |
Ω |
0.35429026867841 |
Real period |
R |
0.37591755608798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955f1 |
Quadratic twists by: -11 |