Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686di |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3773952 |
Modular degree for the optimal curve |
Δ |
4.5505396592263E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2182216,697076288] |
[a1,a2,a3,a4,a6] |
j |
34913047/13824 |
j-invariant |
L |
8.1858246283239 |
L(r)(E,1)/r! |
Ω |
0.15158934498489 |
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 |
49686cm1 49686bq1 |
Quadratic twists by: -7 13 |