Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470n |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1730030808166753400 = -1 · 23 · 52 · 79 · 118 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,149432,-59235794] |
[a1,a2,a3,a4,a6] |
j |
1721540467559/8070721400 |
j-invariant |
L |
2.4076591744286 |
L(r)(E,1)/r! |
Ω |
0.13375884302381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760ca2 76230ea2 42350by2 59290u2 |
Quadratic twists by: -4 -3 5 -7 |