Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080cz |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20836946580480 = 210 · 310 · 5 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4135152,3236572424] |
[a1,a2,a3,a4,a6] |
j |
10475401104030908416/27913005 |
j-invariant |
L |
2.6943926227865 |
L(r)(E,1)/r! |
Ω |
0.44906545165429 |
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 |
118080gj3 7380g3 39360f3 |
Quadratic twists by: -4 8 -3 |