Atkin-Lehner |
3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325q |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4459954833984375 = -1 · 32 · 514 · 113 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26662,-2739333] |
[a1,a2,a3,a4,a6] |
j |
134146961560871/285437109375 |
j-invariant |
L |
1.8133328119625 |
L(r)(E,1)/r! |
Ω |
0.22666660158196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065a1 |
Quadratic twists by: 5 |