Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54665b |
Isogeny class |
Conductor |
54665 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
800594790549692125 = 53 · 135 · 297 |
Discriminant |
Eigenvalues |
0 -1 5+ 3 4 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-345931,65534512] |
[a1,a2,a3,a4,a6] |
Generators |
[-3110:95029:8] |
Generators of the group modulo torsion |
j |
7696715382784/1345937125 |
j-invariant |
L |
4.2191013236105 |
L(r)(E,1)/r! |
Ω |
0.26962098663409 |
Real period |
R |
3.9120668760574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1885c1 |
Quadratic twists by: 29 |