Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200ck |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
76032000000 = 214 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,-38412] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
4.1953648809162 |
L(r)(E,1)/r! |
Ω |
0.6992274801527 |
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 |
1650m1 52800eg1 39600df1 528g1 |
Quadratic twists by: -4 8 -3 5 |