Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bf |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
922174437162221568 = 226 · 314 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254739,-17728558] |
[a1,a2,a3,a4,a6] |
j |
612241204436497/308834353152 |
j-invariant |
L |
3.5852289792574 |
L(r)(E,1)/r! |
Ω |
0.22407681120366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3978d1 127296dv1 10608n1 |
Quadratic twists by: -4 8 -3 |