Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360be |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
90951206400 = 29 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,40106] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:270:1] |
Generators of the group modulo torsion |
j |
3638052872/243675 |
j-invariant |
L |
6.5392494745751 |
L(r)(E,1)/r! |
Ω |
1.0524356572763 |
Real period |
R |
1.5533608704162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360m2 54720p2 9120c2 |
Quadratic twists by: -4 8 -3 |