Atkin-Lehner |
2+ 3+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
105774f |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13188096 |
Modular degree for the optimal curve |
Δ |
-284768151117035022 = -1 · 2 · 39 · 179 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 -3 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32846734,-72471702662] |
[a1,a2,a3,a4,a6] |
j |
-162370371743370690697/11797714638 |
j-invariant |
L |
3.0901002091099 |
L(r)(E,1)/r! |
Ω |
0.031531636187726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6222b1 |
Quadratic twists by: 17 |