Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928es |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.3564643144524E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1144524,348234640] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:22680:1] |
Generators of the group modulo torsion |
j |
867622835347633/227964231936 |
j-invariant |
L |
7.1315595492741 |
L(r)(E,1)/r! |
Ω |
0.18957586746589 |
Real period |
R |
3.1348749031418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116928bl2 29232bo2 38976bx2 |
Quadratic twists by: -4 8 -3 |