Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176f |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-32607691776 = -1 · 210 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8312,289056] |
[a1,a2,a3,a4,a6] |
Generators |
[100:684:1] [-44:756:1] |
Generators of the group modulo torsion |
j |
-512633799172/263169 |
j-invariant |
L |
9.3565179677413 |
L(r)(E,1)/r! |
Ω |
1.1524546445654 |
Real period |
R |
0.33828221974833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110352i1 55176m1 |
Quadratic twists by: -4 -11 |