Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575o |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
104544 |
Modular degree for the optimal curve |
Δ |
-14286185718175 = -1 · 52 · 711 · 172 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 5 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-490,181695] |
[a1,a2,a3,a4,a6] |
j |
-1806584305/1977326743 |
j-invariant |
L |
6.2437637069566 |
L(r)(E,1)/r! |
Ω |
0.56761488240727 |
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 |
50575bb1 50575h1 |
Quadratic twists by: 5 17 |