Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cn |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1.3847362424246E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9968537,13183645667] |
[a1,a2,a3,a4,a6] |
Generators |
[4006:1080247:8] |
Generators of the group modulo torsion |
j |
7011290454916006602071/8862311951517497850 |
j-invariant |
L |
12.978098742116 |
L(r)(E,1)/r! |
Ω |
0.069509583920855 |
Real period |
R |
0.97244524376998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430a4 |
Quadratic twists by: 5 |