Atkin-Lehner |
2+ 3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326o |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-362031286584 = -1 · 23 · 3 · 114 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1328,22262] |
[a1,a2,a3,a4,a6] |
Generators |
[4626060:50775071:216000] |
Generators of the group modulo torsion |
j |
17709945143/24727224 |
j-invariant |
L |
7.9059115242968 |
L(r)(E,1)/r! |
Ω |
0.64606577586663 |
Real period |
R |
12.23700715717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326bo2 |
Quadratic twists by: -11 |