Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176bn |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-162249728 = -1 · 210 · 23 · 832 |
Discriminant |
Eigenvalues |
2- 1 -2 -4 -6 -5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71,-545] |
[a1,a2,a3,a4,a6] |
Generators |
[18:83:1] |
Generators of the group modulo torsion |
j |
38112512/158447 |
j-invariant |
L |
1.8106491860243 |
L(r)(E,1)/r! |
Ω |
0.91985945707349 |
Real period |
R |
0.98419882407809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176l1 30544u1 |
Quadratic twists by: -4 8 |