Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23856d |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
168896 |
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 |
3.361099221235 |
L(r)(E,1)/r! |
Ω |
0.480157031605 |
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 |
11928m1 95424co1 71568u1 |
Quadratic twists by: -4 8 -3 |