Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746x |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
218112 |
Modular degree for the optimal curve |
Δ |
-164649948372 = -1 · 22 · 39 · 74 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -5 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,292,-19501] |
[a1,a2,a3,a4,a6] |
j |
3789119879/225857268 |
j-invariant |
L |
7.7991307790649 |
L(r)(E,1)/r! |
Ω |
0.48744569712355 |
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 |
36582f1 |
Quadratic twists by: -3 |