Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184r |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-14162522112 = -1 · 212 · 38 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,487,3801] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:48:1] [25:176:1] |
Generators of the group modulo torsion |
j |
3112136000/3457647 |
j-invariant |
L |
9.0151907696329 |
L(r)(E,1)/r! |
Ω |
0.83234271948044 |
Real period |
R |
5.4155521279619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184bb1 50592e1 |
Quadratic twists by: -4 8 |