Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450d |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-160381000000 = -1 · 26 · 56 · 133 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-475,-19875] |
[a1,a2,a3,a4,a6] |
Generators |
[40602:1554671:27] |
Generators of the group modulo torsion |
j |
-761048497/10264384 |
j-invariant |
L |
7.4199307548128 |
L(r)(E,1)/r! |
Ω |
0.43721435228302 |
Real period |
R |
8.4854610971293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898b1 |
Quadratic twists by: 5 |