Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064g |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-83873095778736 = -1 · 24 · 38 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13955,-777174] |
[a1,a2,a3,a4,a6] |
Generators |
[469:9801:1] |
Generators of the group modulo torsion |
j |
-10603964416/2959011 |
j-invariant |
L |
10.40290724421 |
L(r)(E,1)/r! |
Ω |
0.21648941502633 |
Real period |
R |
0.7508238932875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10824k1 |
Quadratic twists by: -11 |