Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.8676814024713E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3240161,1792903839] |
[a1,a2,a3,a4,a6] |
Generators |
[317075:-42811848:1331] |
Generators of the group modulo torsion |
j |
14351050585434661561/3001282273281600 |
j-invariant |
L |
6.6282930121485 |
L(r)(E,1)/r! |
Ω |
0.15067227147542 |
Real period |
R |
10.997864683307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989373 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920q6 18480cc6 |
Quadratic twists by: -4 8 |