Atkin-Lehner |
7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22477b |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-1697611624690699081 = -1 · 78 · 138 · 192 |
Discriminant |
Eigenvalues |
1 -2 1 7+ -2 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15882,-62680915] |
[a1,a2,a3,a4,a6] |
j |
543164999/2081093161 |
j-invariant |
L |
0.49244049154305 |
L(r)(E,1)/r! |
Ω |
0.12311012288576 |
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 |
22477j1 |
Quadratic twists by: 13 |