Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440df |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9318751596000000 = 28 · 36 · 56 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82263,7803938] |
[a1,a2,a3,a4,a6] |
j |
329890530231376/49933296875 |
j-invariant |
L |
2.3577630344868 |
L(r)(E,1)/r! |
Ω |
0.39296050602204 |
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 |
13860o2 6160i2 |
Quadratic twists by: -4 -3 |