Atkin-Lehner |
2- 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150u |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
832000 |
Modular degree for the optimal curve |
Δ |
-41384461062500000 = -1 · 25 · 59 · 17 · 794 |
Discriminant |
Eigenvalues |
2- 1 5- -4 6 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,70737,-6578983] |
[a1,a2,a3,a4,a6] |
j |
20041637419747/21188844064 |
j-invariant |
L |
3.9226350243655 |
L(r)(E,1)/r! |
Ω |
0.19613175231838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150j1 |
Quadratic twists by: 5 |