Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260t |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1548211801237200 = 24 · 310 · 52 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38712,2238509] |
[a1,a2,a3,a4,a6] |
j |
550063754051584/132734207925 |
j-invariant |
L |
1.7888796665439 |
L(r)(E,1)/r! |
Ω |
0.44721992313166 |
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 |
24420b1 |
Quadratic twists by: -3 |