Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247q |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-66989067658407 = -1 · 310 · 176 · 47 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5256,-418901] |
[a1,a2,a3,a4,a6] |
Generators |
[15443830:5420731549:125] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
10.124268088874 |
L(r)(E,1)/r! |
Ω |
0.25532126903229 |
Real period |
R |
9.9132635329914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40749d1 423c1 |
Quadratic twists by: -3 17 |