Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600u |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
185760000000 = 211 · 33 · 57 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6192008,-5932620012] |
[a1,a2,a3,a4,a6] |
j |
820480625548035842/5805 |
j-invariant |
L |
2.2969572551502 |
L(r)(E,1)/r! |
Ω |
0.095706552300647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800d4 10320f3 |
Quadratic twists by: -4 5 |