Atkin-Lehner |
3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843d |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-642153876875095113 = -1 · 39 · 177 · 433 |
Discriminant |
Eigenvalues |
-1 3+ -4 -4 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-375032,96535180] |
[a1,a2,a3,a4,a6] |
Generators |
[268:-4036:1] |
Generators of the group modulo torsion |
j |
-12278428443/1351619 |
j-invariant |
L |
1.8434844906001 |
L(r)(E,1)/r! |
Ω |
0.28046451456373 |
Real period |
R |
1.6432422591874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995685654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111843b1 6579b1 |
Quadratic twists by: -3 17 |