Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bm |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-5161769667794250000 = -1 · 24 · 36 · 56 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222714,116610948] |
[a1,a2,a3,a4,a6] |
j |
-290707016929/1228250000 |
j-invariant |
L |
2.531993266333 |
L(r)(E,1)/r! |
Ω |
0.21099943767161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8330n2 74970u2 |
Quadratic twists by: -3 -7 |