Atkin-Lehner |
2+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166d |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
204473962 = 2 · 76 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9262,-340782] |
[a1,a2,a3,a4,a6] |
j |
87874813723901625/204473962 |
j-invariant |
L |
0.9733100749276 |
L(r)(E,1)/r! |
Ω |
0.4866550374638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328bb2 109494bg2 85162m2 |
Quadratic twists by: -4 -3 -7 |