Atkin-Lehner |
2- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200bb |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-29038082944000 = -1 · 210 · 53 · 136 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -2 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1352,259008] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:104:1] [8:520:1] |
Generators of the group modulo torsion |
j |
2133646924/226860023 |
j-invariant |
L |
6.5785756416299 |
L(r)(E,1)/r! |
Ω |
0.50885380640472 |
Real period |
R |
2.1547038888259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999826789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200o2 |
Quadratic twists by: 5 |