Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79420c |
Isogeny class |
Conductor |
79420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
455404128080 = 24 · 5 · 112 · 196 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1925,-2420] |
[a1,a2,a3,a4,a6] |
Generators |
[63:361:1] |
Generators of the group modulo torsion |
j |
1048576/605 |
j-invariant |
L |
4.7414561126366 |
L(r)(E,1)/r! |
Ω |
0.78612043823385 |
Real period |
R |
1.0052437858568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
220b1 |
Quadratic twists by: -19 |