Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728z |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
160554178512 = 24 · 38 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17346,-879109] |
[a1,a2,a3,a4,a6] |
Generators |
[35553:1283408:27] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
6.2322050985461 |
L(r)(E,1)/r! |
Ω |
0.41601306380789 |
Real period |
R |
7.4903958889246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bk1 30576c1 1872h1 |
Quadratic twists by: -4 -3 -7 |