Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bl |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
472792320 |
Modular degree for the optimal curve |
Δ |
-2.0335176595707E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18384817833,-1945925950268259] |
[a1,a2,a3,a4,a6] |
Generators |
[2202451185297658:2755174542581840771:1416247867] |
Generators of the group modulo torsion |
j |
60332893035582377081137649111/178525555847085424640000000 |
j-invariant |
L |
5.5251604118353 |
L(r)(E,1)/r! |
Ω |
0.0075449477564338 |
Real period |
R |
16.643167268406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350p1 22230bo1 |
Quadratic twists by: -3 5 |