Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5406h |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
99643392 = 212 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-283,1745] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:65:1] |
Generators of the group modulo torsion |
j |
2507141976625/99643392 |
j-invariant |
L |
6.3579185633618 |
L(r)(E,1)/r! |
Ω |
1.876141742946 |
Real period |
R |
0.84720658597178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43248j1 16218i1 91902q1 |
Quadratic twists by: -4 -3 17 |