Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400a |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
100915956000000 = 28 · 35 · 56 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24633,1415637] |
[a1,a2,a3,a4,a6] |
Generators |
[-147092:2217619:1331] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
6.0113483724008 |
L(r)(E,1)/r! |
Ω |
0.5879192548972 |
Real period |
R |
10.224785669794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200m1 2256g1 |
Quadratic twists by: -4 5 |