Atkin-Lehner |
2- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8080i |
Isogeny class |
Conductor |
8080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-65286400 = -1 · 28 · 52 · 1012 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,-100] |
[a1,a2,a3,a4,a6] |
Generators |
[1950:8245:216] |
Generators of the group modulo torsion |
j |
427694384/255025 |
j-invariant |
L |
6.3246477028129 |
L(r)(E,1)/r! |
Ω |
1.1444702208628 |
Real period |
R |
5.5262667280629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2020b2 32320r2 72720bp2 40400q2 |
Quadratic twists by: -4 8 -3 5 |