Atkin-Lehner |
2- 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
8484b |
Isogeny class |
Conductor |
8484 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-27377392896 = -1 · 28 · 32 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,196,7956] |
[a1,a2,a3,a4,a6] |
j |
3236192048/106942941 |
j-invariant |
L |
0.89409050861794 |
L(r)(E,1)/r! |
Ω |
0.89409050861794 |
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 |
33936d2 25452a2 59388b2 |
Quadratic twists by: -4 -3 -7 |