Atkin-Lehner |
2- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5548a |
Isogeny class |
Conductor |
5548 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4920 |
Modular degree for the optimal curve |
Δ |
-46273338112 = -1 · 28 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 2 0 0 4 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3213,-69799] |
[a1,a2,a3,a4,a6] |
Generators |
[695:18246:1] |
Generators of the group modulo torsion |
j |
-14333461504000/180755227 |
j-invariant |
L |
5.3845966274646 |
L(r)(E,1)/r! |
Ω |
0.31681417188162 |
Real period |
R |
5.6653574927794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22192d1 88768j1 49932a1 105412a1 |
Quadratic twists by: -4 8 -3 -19 |