Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bx |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
-187792353720000000 = -1 · 29 · 310 · 57 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-623307,-190553294] |
[a1,a2,a3,a4,a6] |
j |
-71751706663500872/503130234375 |
j-invariant |
L |
1.1888859091876 |
L(r)(E,1)/r! |
Ω |
0.084920422183368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61920cd1 123840fp1 20640f1 |
Quadratic twists by: -4 8 -3 |