Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050c |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-8779520000000000 = -1 · 217 · 510 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 2 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,41374,-3131852] |
[a1,a2,a3,a4,a6] |
Generators |
[9748:160869:64] |
Generators of the group modulo torsion |
j |
73087061741/81920000 |
j-invariant |
L |
4.7954414718498 |
L(r)(E,1)/r! |
Ω |
0.22222485174455 |
Real period |
R |
5.3948078198767 |
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 |
3610i1 18050o1 |
Quadratic twists by: 5 -19 |