Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450fa |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
5.43243241728E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2607980,-1581166353] |
[a1,a2,a3,a4,a6] |
Generators |
[-961:6555:1] |
Generators of the group modulo torsion |
j |
129392980254539/3583180800 |
j-invariant |
L |
10.863397863505 |
L(r)(E,1)/r! |
Ω |
0.11900304982775 |
Real period |
R |
1.4263549704153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18150b1 10890t1 54450bj1 |
Quadratic twists by: -3 5 -11 |