Atkin-Lehner |
2- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51392l |
Isogeny class |
Conductor |
51392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
-51392 = -1 · 26 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 1 2 1 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27,47] |
[a1,a2,a3,a4,a6] |
j |
-35287552/803 |
j-invariant |
L |
3.5534074026997 |
L(r)(E,1)/r! |
Ω |
3.5534074034492 |
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 |
51392j1 25696d1 |
Quadratic twists by: -4 8 |