Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128m |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
40872148992 = 215 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -3 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7648,-254720] |
[a1,a2,a3,a4,a6] |
Generators |
[178:1998:1] |
Generators of the group modulo torsion |
j |
12079923558625/9978552 |
j-invariant |
L |
6.3081115038324 |
L(r)(E,1)/r! |
Ω |
0.51053954724758 |
Real period |
R |
3.0889436177978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266g1 |
Quadratic twists by: -4 |