Atkin-Lehner |
2- 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904d |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.240171289135E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18346904,30273856752] |
[a1,a2,a3,a4,a6] |
Generators |
[20472820:69409611:8000] |
Generators of the group modulo torsion |
j |
-166744744037964651747097/127933869363646464 |
j-invariant |
L |
8.0411192693651 |
L(r)(E,1)/r! |
Ω |
0.16347204035689 |
Real period |
R |
6.1486961468313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738f2 |
Quadratic twists by: -4 |