Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420m |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2148960000 = 28 · 3 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-500,-3852] |
[a1,a2,a3,a4,a6] |
j |
54108072016/8394375 |
j-invariant |
L |
2.0399788313274 |
L(r)(E,1)/r! |
Ω |
1.0199894156638 |
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 |
97680bu2 73260q2 122100d2 |
Quadratic twists by: -4 -3 5 |