Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176br |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-44960768 = -1 · 210 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -3 0 -1 -5 6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280,-1832] |
[a1,a2,a3,a4,a6] |
Generators |
[26:92:1] |
Generators of the group modulo torsion |
j |
-2370816000/43907 |
j-invariant |
L |
3.0639471303369 |
L(r)(E,1)/r! |
Ω |
0.58291204365103 |
Real period |
R |
1.3140692489114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999885146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176n1 30544j1 |
Quadratic twists by: -4 8 |