Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400b |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9240750000 = -1 · 24 · 33 · 56 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83,4662] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2366:1] |
Generators of the group modulo torsion |
j |
-256000/36963 |
j-invariant |
L |
5.5610338265655 |
L(r)(E,1)/r! |
Ω |
1.0622134708676 |
Real period |
R |
5.235326023514 |
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 |
22200f1 1776c1 |
Quadratic twists by: -4 5 |