Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524i |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5376829743441931008 = 28 · 3 · 132 · 2310 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1221108,506842404] |
[a1,a2,a3,a4,a6] |
Generators |
[13404:130130:27] |
Generators of the group modulo torsion |
j |
5313483250000/141879387 |
j-invariant |
L |
9.2411891655882 |
L(r)(E,1)/r! |
Ω |
0.24063854037954 |
Real period |
R |
6.4004634977098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588f2 |
Quadratic twists by: -23 |