Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200bl |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1425600 |
Modular degree for the optimal curve |
Δ |
-2276195644843750000 = -1 · 24 · 510 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13675625,19465784375] |
[a1,a2,a3,a4,a6] |
j |
-1810277845777324800/14567652127 |
j-invariant |
L |
1.8630339976676 |
L(r)(E,1)/r! |
Ω |
0.23287924948304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300m1 53200dq1 |
Quadratic twists by: -4 5 |