Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bg |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1891141877760 = -1 · 216 · 3 · 5 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44,-66160] |
[a1,a2,a3,a4,a6] |
j |
9407293631/1891141877760 |
j-invariant |
L |
6.1269382449405 |
L(r)(E,1)/r! |
Ω |
0.38293364031131 |
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 |
124830bg1 |
Quadratic twists by: -3 |