Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326bn |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
760715960716008 = 23 · 312 · 116 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-523267,145641497] |
[a1,a2,a3,a4,a6] |
Generators |
[428:149:1] |
Generators of the group modulo torsion |
j |
8944121560009033/429404328 |
j-invariant |
L |
12.695041403298 |
L(r)(E,1)/r! |
Ω |
0.47608785790763 |
Real period |
R |
0.74070370221681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
606a3 |
Quadratic twists by: -11 |