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 |
1.0801814624104E+30 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42085870284,-3322793947706480] |
[a1,a2,a3,a4,a6] |
Generators |
[1199385035034499607747999024026321920087082833350:-345478913975246037877885614070353098770339686531072:4319749571285305250719793835857969508296875] |
Generators of the group modulo torsion |
j |
43138515777213631193352207793/5652352909513890349056 |
j-invariant |
L |
8.1769040952604 |
L(r)(E,1)/r! |
Ω |
0.0105406863639 |
Real period |
R |
64.645569818296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755622 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116928bk2 29232bp2 38976bw2 |
Quadratic twists by: -4 8 -3 |