Atkin-Lehner |
2+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550l |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-36743445217280000 = -1 · 235 · 54 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 5 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78425,12477925] |
[a1,a2,a3,a4,a6] |
Generators |
[177783879:1929853171:753571] |
Generators of the group modulo torsion |
j |
-85352437753750825/58789512347648 |
j-invariant |
L |
5.0042388969338 |
L(r)(E,1)/r! |
Ω |
0.33718829529799 |
Real period |
R |
14.841081243825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550t1 |
Quadratic twists by: 5 |