Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096r |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3883923883008 = 210 · 314 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152499,22921598] |
[a1,a2,a3,a4,a6] |
Generators |
[1858:1415:8] |
Generators of the group modulo torsion |
j |
525408645438148/5202873 |
j-invariant |
L |
7.4403853160345 |
L(r)(E,1)/r! |
Ω |
0.70866269522722 |
Real period |
R |
5.2495957287413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192p4 19032e3 |
Quadratic twists by: -4 -3 |