Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bu |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-1823902329186 = -1 · 2 · 36 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7139,-239291] |
[a1,a2,a3,a4,a6] |
Generators |
[54185948:352574101:438976] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
5.6423854300168 |
L(r)(E,1)/r! |
Ω |
0.25900978944577 |
Real period |
R |
10.892224270925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038e1 27342bj1 |
Quadratic twists by: -3 -7 |