Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635s |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
739243529962925625 = 38 · 54 · 118 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-338198,-63427597] |
[a1,a2,a3,a4,a6] |
j |
2414787172415281/417283700625 |
j-invariant |
L |
3.2049666711988 |
L(r)(E,1)/r! |
Ω |
0.20031041707436 |
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 |
4785c2 |
Quadratic twists by: -11 |