Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280gb |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2647314172477440 = -1 · 218 · 37 · 5 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34548,138256] |
[a1,a2,a3,a4,a6] |
Generators |
[146:2880:1] |
Generators of the group modulo torsion |
j |
23862997439/13852815 |
j-invariant |
L |
9.5797966824938 |
L(r)(E,1)/r! |
Ω |
0.27393476303008 |
Real period |
R |
2.1856929923731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cn3 22320bt3 29760cr3 |
Quadratic twists by: -4 8 -3 |