Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bi |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-53200000000 = -1 · 210 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-11088] |
[a1,a2,a3,a4,a6] |
j |
-2500/133 |
j-invariant |
L |
2.9528216188408 |
L(r)(E,1)/r! |
Ω |
0.49213693650038 |
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 |
26600bh1 53200j1 |
Quadratic twists by: -4 5 |