Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bz |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-77623525827674112 = -1 · 218 · 3 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85823,-9246913] |
[a1,a2,a3,a4,a6] |
Generators |
[372968089054:-7383906950685:1920495907] |
Generators of the group modulo torsion |
j |
266679605718863/296110251723 |
j-invariant |
L |
7.5181180671986 |
L(r)(E,1)/r! |
Ω |
0.18544277303758 |
Real period |
R |
20.270722724997 |
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 |
27456p5 6864r6 82368eq5 |
Quadratic twists by: -4 8 -3 |