Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bn |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
2779530069431808 = 29 · 310 · 74 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44673,2598921] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1119:1] |
Generators of the group modulo torsion |
j |
9859608595805172625/2779530069431808 |
j-invariant |
L |
10.420921509522 |
L(r)(E,1)/r! |
Ω |
0.42232176951824 |
Real period |
R |
0.13708506774888 |
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 |
81774u2 |
Quadratic twists by: -3 |