Atkin-Lehner |
2+ 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21402b |
Isogeny class |
Conductor |
21402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
402186384 = 24 · 36 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6453,-197915] |
[a1,a2,a3,a4,a6] |
j |
40767965189713/551696 |
j-invariant |
L |
1.065335335189 |
L(r)(E,1)/r! |
Ω |
0.53266766759452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2378d1 |
Quadratic twists by: -3 |