Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885x |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
51447675685612635 = 36 · 5 · 113 · 139 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-77977618,-265041392107] |
[a1,a2,a3,a4,a6] |
Generators |
[262967196:-102539058665:1728] |
Generators of the group modulo torsion |
j |
4944739615233026077/4851495 |
j-invariant |
L |
7.0127716378586 |
L(r)(E,1)/r! |
Ω |
0.050805071187617 |
Real period |
R |
15.336989604315 |
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 |
83655m2 27885q2 |
Quadratic twists by: -3 13 |