Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27612a |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
653150594304 = 28 · 39 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82944,-9194364] |
[a1,a2,a3,a4,a6] |
j |
12524124635136/129623 |
j-invariant |
L |
1.6879315499907 |
L(r)(E,1)/r! |
Ω |
0.28132192499851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448z1 27612b1 |
Quadratic twists by: -4 -3 |