Atkin-Lehner |
2- 3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180k |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
454656 |
Modular degree for the optimal curve |
Δ |
960850051920 = 24 · 310 · 5 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146892,-21669271] |
[a1,a2,a3,a4,a6] |
j |
30051809911128064/82377405 |
j-invariant |
L |
1.4631920153559 |
L(r)(E,1)/r! |
Ω |
0.2438653459813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060e1 |
Quadratic twists by: -3 |