Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cn |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-443961000 = -1 · 23 · 37 · 53 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 -4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477,-4019] |
[a1,a2,a3,a4,a6] |
j |
-131872229/4872 |
j-invariant |
L |
2.0385263606195 |
L(r)(E,1)/r! |
Ω |
0.5096316030372 |
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 |
30450cj1 91350fu1 |
Quadratic twists by: -3 5 |