Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575bb |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
522720 |
Modular degree for the optimal curve |
Δ |
-223221651846484375 = -1 · 58 · 711 · 172 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 5 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12263,22736392] |
[a1,a2,a3,a4,a6] |
j |
-1806584305/1977326743 |
j-invariant |
L |
0.76153527744764 |
L(r)(E,1)/r! |
Ω |
0.25384509242064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575o1 50575bl1 |
Quadratic twists by: 5 17 |