Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162t |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1557630571536 = -1 · 24 · 35 · 136 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1440,63504] |
[a1,a2,a3,a4,a6] |
Generators |
[66:474:1] |
Generators of the group modulo torsion |
j |
-68417929/322704 |
j-invariant |
L |
15.636677515565 |
L(r)(E,1)/r! |
Ω |
0.73511946966217 |
Real period |
R |
0.5317733430346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
498b1 |
Quadratic twists by: 13 |