Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cq |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
87900538640062500 = 22 · 38 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-599517,-177949359] |
[a1,a2,a3,a4,a6] |
Generators |
[-456:903:1] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
2.5533183315004 |
L(r)(E,1)/r! |
Ω |
0.17161114419248 |
Real period |
R |
1.8598139003989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18150dc2 2178k2 4950bl2 |
Quadratic twists by: -3 5 -11 |