Atkin-Lehner |
2- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384r |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
67688192 = 28 · 11 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 2 0 2 11- 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-748,-7620] |
[a1,a2,a3,a4,a6] |
Generators |
[100205666043342:1099732684828087:784287609048] |
Generators of the group modulo torsion |
j |
181037698000/264407 |
j-invariant |
L |
10.599955825411 |
L(r)(E,1)/r! |
Ω |
0.91288038325101 |
Real period |
R |
23.223099129051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24596d2 |
Quadratic twists by: -4 |