Atkin-Lehner |
2- 3+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624n |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-55117417414656 = -1 · 217 · 3 · 41 · 434 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -2 3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11472,-588864] |
[a1,a2,a3,a4,a6] |
Generators |
[3160:177504:1] |
Generators of the group modulo torsion |
j |
-40767965189713/13456400736 |
j-invariant |
L |
3.7465915975079 |
L(r)(E,1)/r! |
Ω |
0.22684977252089 |
Real period |
R |
2.0644673547421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578j1 |
Quadratic twists by: -4 |