Atkin-Lehner |
3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80631c |
Isogeny class |
Conductor |
80631 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
136678338468740853 = 37 · 1710 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1305756,-573701265] |
[a1,a2,a3,a4,a6] |
j |
13992294360673/7767453 |
j-invariant |
L |
5.0845321272903 |
L(r)(E,1)/r! |
Ω |
0.14123700575157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26877a4 4743d3 |
Quadratic twists by: -3 17 |