Atkin-Lehner |
2+ 3+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106f |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
7152767748 = 22 · 33 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84462,9469152] |
[a1,a2,a3,a4,a6] |
Generators |
[-3678:117760:27] |
Generators of the group modulo torsion |
j |
2468010046615954875/264917324 |
j-invariant |
L |
5.2274381583872 |
L(r)(E,1)/r! |
Ω |
1.0231320673659 |
Real period |
R |
7.6638759474344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941932 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92106bm3 |
Quadratic twists by: -3 |