Atkin-Lehner |
2+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136c |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-38083395584 = -1 · 215 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ -1 3 -5 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39489,3033601] |
[a1,a2,a3,a4,a6] |
Generators |
[105:184:1] |
Generators of the group modulo torsion |
j |
-207832366624904/1162213 |
j-invariant |
L |
3.6641010041017 |
L(r)(E,1)/r! |
Ω |
1.0242290491107 |
Real period |
R |
0.44717792949769 |
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 |
19136g1 9568k1 |
Quadratic twists by: -4 8 |