Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200cd |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1373328000000 = 210 · 33 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3608,60288] |
[a1,a2,a3,a4,a6] |
j |
324730948/85833 |
j-invariant |
L |
4.7962788131265 |
L(r)(E,1)/r! |
Ω |
0.7993798484475 |
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 |
4488a1 |
Quadratic twists by: 5 |