Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574p |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
261652787136 = 26 · 33 · 133 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 3 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6419,-199087] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:62:1] |
Generators of the group modulo torsion |
j |
13313738141101/119095488 |
j-invariant |
L |
9.9576521648575 |
L(r)(E,1)/r! |
Ω |
0.53366261929572 |
Real period |
R |
1.5549231238394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722ba1 41574f1 |
Quadratic twists by: -3 13 |