Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550bc |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
4931166500000000 = 28 · 59 · 133 · 672 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50388,2741392] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1624:1] |
Generators of the group modulo torsion |
j |
7243952165549/2524757248 |
j-invariant |
L |
6.9535488761769 |
L(r)(E,1)/r! |
Ω |
0.39707007222003 |
Real period |
R |
0.72967272893203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43550j1 |
Quadratic twists by: 5 |