Atkin-Lehner |
5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465f |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
721036806875 = 54 · 74 · 113 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36880,2722677] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-307:1] [-121:2388:1] |
Generators of the group modulo torsion |
j |
4167917652234491/541725625 |
j-invariant |
L |
4.8017442772321 |
L(r)(E,1)/r! |
Ω |
0.86938903025194 |
Real period |
R |
0.69039062349037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465r2 |
Quadratic twists by: -11 |