Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bp |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-54868361313024 = -1 · 28 · 37 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39396,3030748] |
[a1,a2,a3,a4,a6] |
j |
-307981312/2499 |
j-invariant |
L |
5.0577437452992 |
L(r)(E,1)/r! |
Ω |
0.63221807765974 |
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 |
59976u1 39984u1 17136k1 |
Quadratic twists by: -4 -3 -7 |