Atkin-Lehner |
2- 3- 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258bk |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
Δ |
3.249835042749E+26 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-421471078,3215467997924] |
[a1,a2,a3,a4,a6] |
Generators |
[370020:2933966:27] |
Generators of the group modulo torsion |
j |
8279937264958297178088459318625/324983504274903719772291072 |
j-invariant |
L |
10.354525235818 |
L(r)(E,1)/r! |
Ω |
0.053773591409774 |
Real period |
R |
1.1326930260479 |
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 |
81774y2 |
Quadratic twists by: -3 |