Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600a |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
95528160000000 = 211 · 38 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-486008,-130247988] |
[a1,a2,a3,a4,a6] |
Generators |
[11226:353175:8] |
Generators of the group modulo torsion |
j |
396738988420322/2985255 |
j-invariant |
L |
5.262059028719 |
L(r)(E,1)/r! |
Ω |
0.18081681777831 |
Real period |
R |
7.2754004485434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bt4 10920u3 |
Quadratic twists by: -4 5 |