Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bo |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-34697419960320 = -1 · 212 · 33 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21181,-1226965] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10140:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
6.4790893476628 |
L(r)(E,1)/r! |
Ω |
0.19748693576626 |
Real period |
R |
1.366986909278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81120a1 6240o1 |
Quadratic twists by: -4 13 |