Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cf |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-14628493375569920 = -1 · 222 · 5 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,5818868] |
[a1,a2,a3,a4,a6] |
j |
-2401/619520 |
j-invariant |
L |
1.2577930649947 |
L(r)(E,1)/r! |
Ω |
0.31444826623553 |
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 |
5390bd1 43120bt1 |
Quadratic twists by: -4 -7 |