Atkin-Lehner |
3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613d |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9343933443 = -1 · 39 · 132 · 532 |
Discriminant |
Eigenvalues |
0 3+ 0 1 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3327480,-2336260651] |
[a1,a2,a3,a4,a6] |
j |
-1224875862392832000/2809 |
j-invariant |
L |
2.0120705091057 |
L(r)(E,1)/r! |
Ω |
0.055890847561735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80613a1 80613e2 |
Quadratic twists by: -3 13 |