Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080o |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67194087840000 = 28 · 38 · 54 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227703,-41819798] |
[a1,a2,a3,a4,a6] |
Generators |
[1751:70200:1] |
Generators of the group modulo torsion |
j |
6996204186523216/360050625 |
j-invariant |
L |
3.6829558133124 |
L(r)(E,1)/r! |
Ω |
0.2185539739394 |
Real period |
R |
4.2128675915941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946207 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360bh2 |
Quadratic twists by: -3 |