Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700b |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-33884199180000000 = -1 · 28 · 33 · 57 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78867,2374137] |
[a1,a2,a3,a4,a6] |
Generators |
[347:8450:1] [152:4225:1] |
Generators of the group modulo torsion |
j |
2809856/1755 |
j-invariant |
L |
8.0629751158047 |
L(r)(E,1)/r! |
Ω |
0.22810143540383 |
Real period |
R |
0.73642082939353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140k1 3900a1 |
Quadratic twists by: 5 13 |