Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63024u |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3355901952 = -1 · 216 · 3 · 132 · 101 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-2988] |
[a1,a2,a3,a4,a6] |
Generators |
[363069:384670:19683] |
Generators of the group modulo torsion |
j |
-148035889/819312 |
j-invariant |
L |
10.221871449119 |
L(r)(E,1)/r! |
Ω |
0.58840380620066 |
Real period |
R |
8.6861024189294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878e1 |
Quadratic twists by: -4 |