Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472i |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
2659392 = 26 · 37 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-812] |
[a1,a2,a3,a4,a6] |
Generators |
[17:36:1] |
Generators of the group modulo torsion |
j |
10648000/57 |
j-invariant |
L |
3.9311576375296 |
L(r)(E,1)/r! |
Ω |
1.3325040371002 |
Real period |
R |
1.4751015862153 |
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 |
5472r1 10944k1 1824j1 103968br1 |
Quadratic twists by: -4 8 -3 -19 |