Atkin-Lehner |
3+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109263j |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-3.3541626188776E+19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11+ -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,341762,267964808] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:14071:1] |
Generators of the group modulo torsion |
j |
1872236828125/14224923783 |
j-invariant |
L |
2.6619421111177 |
L(r)(E,1)/r! |
Ω |
0.15107494194021 |
Real period |
R |
1.762001059136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263a1 |
Quadratic twists by: -11 |