Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13760q |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1720000 = -1 · 26 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -1 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,94] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
5.0944797723392 |
L(r)(E,1)/r! |
Ω |
2.4775055816983 |
Real period |
R |
0.51407349089068 |
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 |
13760j1 3440d1 123840el1 68800dg1 |
Quadratic twists by: -4 8 -3 5 |