Atkin-Lehner |
2+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550j |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52608 |
Modular degree for the optimal curve |
Δ |
-14529904250 = -1 · 2 · 53 · 17 · 434 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 2 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14520,-679550] |
[a1,a2,a3,a4,a6] |
j |
-2708696096523773/116239234 |
j-invariant |
L |
0.86982699850854 |
L(r)(E,1)/r! |
Ω |
0.2174567496309 |
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 |
36550bi1 |
Quadratic twists by: 5 |