Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064h |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
176411007180638208 = 211 · 34 · 1110 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255592,45360368] |
[a1,a2,a3,a4,a6] |
Generators |
[2338231:27680928:4913] |
Generators of the group modulo torsion |
j |
508957029506/48622761 |
j-invariant |
L |
10.811080136008 |
L(r)(E,1)/r! |
Ω |
0.31213282691784 |
Real period |
R |
8.6590380737057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824l3 |
Quadratic twists by: -11 |