Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bo |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3283269625069193529 = 38 · 710 · 116 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2615801,1626696096] |
[a1,a2,a3,a4,a6] |
j |
13027640977/21609 |
j-invariant |
L |
1.0058711733 |
L(r)(E,1)/r! |
Ω |
0.25146779305929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17787h3 7623p3 441c3 |
Quadratic twists by: -3 -7 -11 |