Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450eq |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6324912000 = 27 · 33 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1475,21827] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-134:1] [-298:1385:8] |
Generators of the group modulo torsion |
j |
7177599/128 |
j-invariant |
L |
13.153289569352 |
L(r)(E,1)/r! |
Ω |
1.3405347572977 |
Real period |
R |
0.11680919105985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450x1 54450v1 54450u1 |
Quadratic twists by: -3 5 -11 |