Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bi |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1.8044109275175E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-890175,2069149250] |
[a1,a2,a3,a4,a6] |
Generators |
[661:42066:1] |
Generators of the group modulo torsion |
j |
-26752376766544/618796614375 |
j-invariant |
L |
5.634464423627 |
L(r)(E,1)/r! |
Ω |
0.12472148679606 |
Real period |
R |
5.6470466400479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800bd1 13800c1 8280k1 |
Quadratic twists by: -4 -3 5 |