Atkin-Lehner |
2- 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496z |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69115797504 = 213 · 33 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86571,-9804070] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1290:1] |
Generators of the group modulo torsion |
j |
648809652747411/624962 |
j-invariant |
L |
4.2483446249327 |
L(r)(E,1)/r! |
Ω |
0.27832772593735 |
Real period |
R |
3.8159552832443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10062h2 80496x2 |
Quadratic twists by: -4 -3 |