Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328bg |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3111095367991296 = -1 · 215 · 39 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25007979,-48135557734] |
[a1,a2,a3,a4,a6] |
Generators |
[36709:6964272:1] |
Generators of the group modulo torsion |
j |
-579257977790409391657/1041899544 |
j-invariant |
L |
4.1467359095394 |
L(r)(E,1)/r! |
Ω |
0.033755916969893 |
Real period |
R |
3.8388972602483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166bg2 13776g2 |
Quadratic twists by: -4 -3 |