Atkin-Lehner |
3+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52767b |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
141833421873 = 33 · 11 · 132 · 414 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1797,-22608] |
[a1,a2,a3,a4,a6] |
Generators |
[-672:2468:27] |
Generators of the group modulo torsion |
j |
23776072468875/5253089699 |
j-invariant |
L |
5.1732913992037 |
L(r)(E,1)/r! |
Ω |
0.74480311891029 |
Real period |
R |
1.7364627200776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52767a1 |
Quadratic twists by: -3 |