Atkin-Lehner |
2- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36080r |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7002461818880 = 212 · 5 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52187,4586954] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:1968:1] [-155:2992:1] |
Generators of the group modulo torsion |
j |
3837520953986481/1709585405 |
j-invariant |
L |
8.0535342715263 |
L(r)(E,1)/r! |
Ω |
0.73519002976411 |
Real period |
R |
5.4771786514231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2255a3 |
Quadratic twists by: -4 |