Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36848u |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-913962561402146816 = -1 · 212 · 715 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192848,-32516224] |
[a1,a2,a3,a4,a6] |
j |
1645957774943/1896619529 |
j-invariant |
L |
1.2047874992634 |
L(r)(E,1)/r! |
Ω |
0.15059843741032 |
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 |
2303a1 5264j1 |
Quadratic twists by: -4 -7 |