Atkin-Lehner |
3+ 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54873a |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-141968577933 = -1 · 39 · 72 · 133 · 67 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -3 13- 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1038,12509] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:93:1] [206:1787:8] |
Generators of the group modulo torsion |
j |
6280426125/7212751 |
j-invariant |
L |
11.330927341976 |
L(r)(E,1)/r! |
Ω |
0.68868169919758 |
Real period |
R |
1.3710890622837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873b1 |
Quadratic twists by: -3 |