Atkin-Lehner |
3+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263a |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-18933373555173 = -1 · 39 · 75 · 113 · 43 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11+ 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2825,-200042] |
[a1,a2,a3,a4,a6] |
Generators |
[80830:2023174:125] |
Generators of the group modulo torsion |
j |
1872236828125/14224923783 |
j-invariant |
L |
5.8389679199193 |
L(r)(E,1)/r! |
Ω |
0.34157946680798 |
Real period |
R |
8.5470124858035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263j1 |
Quadratic twists by: -11 |