Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080u |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2838184853504000 = -1 · 227 · 53 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5544,2556400] |
[a1,a2,a3,a4,a6] |
Generators |
[556:13312:1] |
Generators of the group modulo torsion |
j |
4599970967591/692916224000 |
j-invariant |
L |
3.2814396218685 |
L(r)(E,1)/r! |
Ω |
0.34867959773635 |
Real period |
R |
0.78425380682591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10010e2 |
Quadratic twists by: -4 |