Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152l |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
271360 |
Modular degree for the optimal curve |
Δ |
-3038050353152 = -1 · 215 · 19 · 474 |
Discriminant |
Eigenvalues |
2- -1 0 5 -2 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-253633,49249793] |
[a1,a2,a3,a4,a6] |
j |
-55067170941125000/92713939 |
j-invariant |
L |
2.7360807482389 |
L(r)(E,1)/r! |
Ω |
0.68402018697516 |
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 |
57152r1 28576f1 |
Quadratic twists by: -4 8 |