Atkin-Lehner |
3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997d |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3045015716463 = 34 · 73 · 194 · 292 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30923,2078490] |
[a1,a2,a3,a4,a6] |
j |
9534466509027823/8877596841 |
j-invariant |
L |
3.1828423529962 |
L(r)(E,1)/r! |
Ω |
0.79571059161136 |
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 |
80997r2 |
Quadratic twists by: -7 |