Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
11928m |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
84448 |
Modular degree for the optimal curve |
Δ |
-1491560668697904 = -1 · 24 · 313 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120779,-16302882] |
[a1,a2,a3,a4,a6] |
j |
-12178158265241208832/93222541793619 |
j-invariant |
L |
3.3277158920091 |
L(r)(E,1)/r! |
Ω |
0.12798907276958 |
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 |
23856d1 95424j1 35784i1 83496q1 |
Quadratic twists by: -4 8 -3 -7 |