Atkin-Lehner |
2+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116272i |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-1860352 = -1 · 28 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 -4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,77] |
[a1,a2,a3,a4,a6] |
j |
-13312/43 |
j-invariant |
L |
2.314598652767 |
L(r)(E,1)/r! |
Ω |
2.3146011006718 |
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 |
58136e1 116272j1 |
Quadratic twists by: -4 13 |