Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542m |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4096821311232 = -1 · 28 · 3 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2450,85664] |
[a1,a2,a3,a4,a6] |
Generators |
[-1211613:10358347:59319] |
Generators of the group modulo torsion |
j |
67419143/169728 |
j-invariant |
L |
5.5485580553699 |
L(r)(E,1)/r! |
Ω |
0.54574479845689 |
Real period |
R |
10.166946292587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67626bd1 1326b1 |
Quadratic twists by: -3 17 |