Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27040v |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
84835994984000 = 26 · 53 · 139 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90077,-10396204] |
[a1,a2,a3,a4,a6] |
j |
119095488/125 |
j-invariant |
L |
0.8267890167565 |
L(r)(E,1)/r! |
Ω |
0.27559633891858 |
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 |
27040n1 54080y1 27040e1 |
Quadratic twists by: -4 8 13 |