Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bi |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1108774541895715044 = 22 · 314 · 74 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270558,-19103040] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:5153:1] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
3.560137063921 |
L(r)(E,1)/r! |
Ω |
0.22082231685091 |
Real period |
R |
2.0152724567714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138bb3 126b4 |
Quadratic twists by: -3 17 |