Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200f |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1936000000 = -1 · 210 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,2750] |
[a1,a2,a3,a4,a6] |
j |
-1188 |
j-invariant |
L |
2.7072145118683 |
L(r)(E,1)/r! |
Ω |
1.3536072559342 |
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 |
48400m1 968d1 24200x1 |
Quadratic twists by: -4 5 -11 |