Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800bx |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13837936320000000 = -1 · 212 · 39 · 57 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43200,-4482000] |
[a1,a2,a3,a4,a6] |
j |
7077888/10985 |
j-invariant |
L |
1.6768459324031 |
L(r)(E,1)/r! |
Ω |
0.2096057415895 |
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 |
2925b2 46800by1 9360bg2 |
Quadratic twists by: -4 -3 5 |