Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400l |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-3429742096000000 = -1 · 210 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33275,3660250] |
[a1,a2,a3,a4,a6] |
j |
-1188 |
j-invariant |
L |
0.81625588772714 |
L(r)(E,1)/r! |
Ω |
0.40812794376693 |
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 |
24200x1 1936d1 48400m1 |
Quadratic twists by: -4 5 -11 |