Atkin-Lehner |
2+ 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160r |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6301408684723200 = -1 · 210 · 37 · 52 · 1034 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17427,3920546] |
[a1,a2,a3,a4,a6] |
j |
-784086760516/8441316075 |
j-invariant |
L |
2.885616316744 |
L(r)(E,1)/r! |
Ω |
0.36070203907571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37080r3 24720b3 |
Quadratic twists by: -4 -3 |