Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bs |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-1148363564868698112 = -1 · 224 · 36 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-308210,-83563279] |
[a1,a2,a3,a4,a6] |
Generators |
[18363:114709:27] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
12.40100169808 |
L(r)(E,1)/r! |
Ω |
0.099537501344381 |
Real period |
R |
2.5955463706454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826b1 954e1 |
Quadratic twists by: -3 -11 |