Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640i |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
187445145600 = 212 · 310 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37308,-2773568] |
[a1,a2,a3,a4,a6] |
j |
1923278337856/62775 |
j-invariant |
L |
1.3740733119186 |
L(r)(E,1)/r! |
Ω |
0.34351832793684 |
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 |
44640o4 89280fb1 14880o3 |
Quadratic twists by: -4 8 -3 |