Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928er |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5.7978162236716E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-673352747724,-212672858594145392] |
[a1,a2,a3,a4,a6] |
Generators |
[-33440538194561168501880602774:76198476582058904100921600:70585200404402108247341] |
Generators of the group modulo torsion |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
8.1769040952604 |
L(r)(E,1)/r! |
Ω |
0.0052703431819499 |
Real period |
R |
32.322784909148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bk4 29232bp4 38976bw4 |
Quadratic twists by: -4 8 -3 |