Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176i |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3435234624 = 26 · 312 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 4 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002,-11878] |
[a1,a2,a3,a4,a6] |
j |
2384621056/73629 |
j-invariant |
L |
1.700330701033 |
L(r)(E,1)/r! |
Ω |
0.85016535020362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176h1 29088e1 19392h1 |
Quadratic twists by: -4 8 -3 |