Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bb |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-8760283836416 = -1 · 212 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -3 6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24304,-1465296] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:75117:1] |
Generators of the group modulo torsion |
j |
-3294646272/18179 |
j-invariant |
L |
3.1581216644401 |
L(r)(E,1)/r! |
Ω |
0.19112030949051 |
Real period |
R |
4.1310649727167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597e1 5936i1 |
Quadratic twists by: -4 -7 |