Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728bb |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-931897609814016 = -1 · 225 · 39 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 3 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2856,-1466604] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1536:1] |
Generators of the group modulo torsion |
j |
628762020263/227514064896 |
j-invariant |
L |
6.9677641762886 |
L(r)(E,1)/r! |
Ω |
0.23295888262584 |
Real period |
R |
0.83082904041715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466c1 |
Quadratic twists by: -4 |