Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074q |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
6.8554050751194E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8609316,9637480101] |
[a1,a2,a3,a4,a6] |
j |
595099203230897/5780865024 |
j-invariant |
L |
5.1806816945876 |
L(r)(E,1)/r! |
Ω |
0.16189630295586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222z1 19074bi1 |
Quadratic twists by: -3 17 |