Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055a |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
10285670366705625 = 3 · 54 · 17 · 199 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4557091,3742475888] |
[a1,a2,a3,a4,a6] |
Generators |
[1333:5553:1] |
Generators of the group modulo torsion |
j |
32434291280971/31875 |
j-invariant |
L |
1.9851981987135 |
L(r)(E,1)/r! |
Ω |
0.34109106614097 |
Real period |
R |
5.8201412758391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92055m1 |
Quadratic twists by: -19 |