Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176ca |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
42410304 = 26 · 38 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -4 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,826] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
12487168/909 |
j-invariant |
L |
4.4164501006266 |
L(r)(E,1)/r! |
Ω |
1.9905332508123 |
Real period |
R |
1.1093635584306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176bz1 29088h1 19392bo1 |
Quadratic twists by: -4 8 -3 |