Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bn |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
211263496240896 = 28 · 38 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26679,1524530] |
[a1,a2,a3,a4,a6] |
Generators |
[1010:3285:8] |
Generators of the group modulo torsion |
j |
11252910367312/1132027479 |
j-invariant |
L |
8.4510613651594 |
L(r)(E,1)/r! |
Ω |
0.54598294375123 |
Real period |
R |
5.1595392977414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28116d2 37488m2 |
Quadratic twists by: -4 -3 |