Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cz |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
135680791012835328 = 217 · 33 · 138 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254657,-46264257] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:1380:1] |
Generators of the group modulo torsion |
j |
13934209854153314/1035162284949 |
j-invariant |
L |
11.121162478899 |
L(r)(E,1)/r! |
Ω |
0.21352285819074 |
Real period |
R |
4.3403481184513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312l3 29328b3 |
Quadratic twists by: -4 8 |