Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002u |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3.9406104893505E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78370556,267060149543] |
[a1,a2,a3,a4,a6] |
j |
32421284953/24 |
j-invariant |
L |
8.4892112817142 |
L(r)(E,1)/r! |
Ω |
0.16978423866725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41334e2 124002l2 |
Quadratic twists by: -3 -83 |