Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14534b |
Isogeny class |
Conductor |
14534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-1381471350272 = -1 · 29 · 137 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 1 -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13186,584404] |
[a1,a2,a3,a4,a6] |
j |
-52523718625/286208 |
j-invariant |
L |
1.7188312805055 |
L(r)(E,1)/r! |
Ω |
0.85941564025274 |
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 |
116272m1 1118a1 |
Quadratic twists by: -4 13 |