Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928er |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.9581468292747E+33 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45752732364,-2709481929929840] |
[a1,a2,a3,a4,a6] |
Generators |
[17310320027643087411802085840232502668404485373555705670398844214281128504263480140:-31540361951064813345547826091944337954008132825323512679919315374675001360777029143800:5192286049086937206141946095962330965944385666693727204148329231115823609481] |
Generators of the group modulo torsion |
j |
55425212630542527476751037873/15479334185118626660294016 |
j-invariant |
L |
8.1769040952604 |
L(r)(E,1)/r! |
Ω |
0.0105406863639 |
Real period |
R |
129.29113932063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928bk3 29232bp3 38976bw3 |
Quadratic twists by: -4 8 -3 |