Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200w |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6110000000000 = 210 · 510 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326075,71667750] |
[a1,a2,a3,a4,a6] |
Generators |
[5955:457500:1] |
Generators of the group modulo torsion |
j |
239638304574756/381875 |
j-invariant |
L |
5.680291843991 |
L(r)(E,1)/r! |
Ω |
0.64412767008135 |
Real period |
R |
4.4092903778761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24440a4 |
Quadratic twists by: 5 |