Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
122976s |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16197414912 = 212 · 33 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-780,5728] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:117:1] |
Generators of the group modulo torsion |
j |
474552000/146461 |
j-invariant |
L |
7.1938315045973 |
L(r)(E,1)/r! |
Ω |
1.1466864519232 |
Real period |
R |
3.1367910183466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122976h2 122976d2 |
Quadratic twists by: -4 -3 |