Atkin-Lehner |
2- 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bu |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-806217254640 = -1 · 24 · 314 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1003,41181] |
[a1,a2,a3,a4,a6] |
j |
153216258551/1105922160 |
j-invariant |
L |
5.206329755919 |
L(r)(E,1)/r! |
Ω |
0.65079121949002 |
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 |
9030d1 |
Quadratic twists by: -3 |