Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635u |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7048076825480625 = -1 · 32 · 54 · 116 · 294 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47193,5642833] |
[a1,a2,a3,a4,a6] |
j |
-6561258219361/3978455625 |
j-invariant |
L |
3.108569532359 |
L(r)(E,1)/r! |
Ω |
0.38857119177802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
435d4 |
Quadratic twists by: -11 |