Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5160m |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
11888640 = 211 · 33 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247680,47361888] |
[a1,a2,a3,a4,a6] |
j |
820480625548035842/5805 |
j-invariant |
L |
3.3292649302301 |
L(r)(E,1)/r! |
Ω |
1.1097549767434 |
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 |
10320f3 41280i4 15480b3 25800d4 |
Quadratic twists by: -4 8 -3 5 |