Atkin-Lehner |
2- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350de |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
9480198437500 = 22 · 58 · 75 · 192 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20138,-1091608] |
[a1,a2,a3,a4,a6] |
j |
6404818585/67228 |
j-invariant |
L |
2.4061452364743 |
L(r)(E,1)/r! |
Ω |
0.40102431668507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350w1 126350bd1 |
Quadratic twists by: 5 -19 |