Atkin-Lehner |
2+ 5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950d |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1704960 |
Modular degree for the optimal curve |
Δ |
50267968750000 = 24 · 511 · 372 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 5 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-426067,-106937659] |
[a1,a2,a3,a4,a6] |
j |
547441799120171649/3217150000 |
j-invariant |
L |
2.9898553325585 |
L(r)(E,1)/r! |
Ω |
0.18686595531841 |
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 |
17390e1 |
Quadratic twists by: 5 |