Atkin-Lehner |
2- 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538v |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15651472001830632 = 23 · 32 · 1110 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11+ 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367655,-85623519] |
[a1,a2,a3,a4,a6] |
j |
5495980913492811387121/15651472001830632 |
j-invariant |
L |
4.6539853549646 |
L(r)(E,1)/r! |
Ω |
0.19391605645729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614q2 |
Quadratic twists by: -3 |