Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
9372g |
Isogeny class |
Conductor |
9372 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
289799034624 = 28 · 32 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2964,55476] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:330:1] |
Generators of the group modulo torsion |
j |
11252910367312/1132027479 |
j-invariant |
L |
4.7596351342507 |
L(r)(E,1)/r! |
Ω |
0.94567019864315 |
Real period |
R |
1.6776938165405 |
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 |
37488m2 28116d2 103092m2 |
Quadratic twists by: -4 -3 -11 |