Atkin-Lehner |
2- 3+ 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bc |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1773852366720150 = 2 · 33 · 52 · 296 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72443,7244181] |
[a1,a2,a3,a4,a6] |
j |
1557197179922624787/65698235804450 |
j-invariant |
L |
1.8650501797554 |
L(r)(E,1)/r! |
Ω |
0.4662625032258 |
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 |
122670i2 |
Quadratic twists by: -3 |