Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bo |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
299890500000000 = 28 · 3 · 59 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27508,1555012] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:1750:1] |
Generators of the group modulo torsion |
j |
575514878416/74972625 |
j-invariant |
L |
5.6505773506633 |
L(r)(E,1)/r! |
Ω |
0.52602880340323 |
Real period |
R |
2.6854885674185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999548 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200cb1 10920i1 |
Quadratic twists by: -4 5 |