Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bf |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
12268800 = 28 · 33 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-2790] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
33750000/71 |
j-invariant |
L |
6.6159478957893 |
L(r)(E,1)/r! |
Ω |
1.0850421979895 |
Real period |
R |
0.7621763363723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127800b1 127800d1 |
Quadratic twists by: -3 5 |