Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400b |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
107892000000 = 28 · 36 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4708,124912] |
[a1,a2,a3,a4,a6] |
Generators |
[36:28:1] |
Generators of the group modulo torsion |
j |
2885794000/26973 |
j-invariant |
L |
5.5610338265655 |
L(r)(E,1)/r! |
Ω |
1.0622134708676 |
Real period |
R |
2.617663011757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22200f2 1776c2 |
Quadratic twists by: -4 5 |