Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955k |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
673703468865 = 32 · 5 · 710 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5845701,-5440538664] |
[a1,a2,a3,a4,a6] |
j |
187778242790732059201/5726385 |
j-invariant |
L |
1.5534968874111 |
L(r)(E,1)/r! |
Ω |
0.097093555465717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116865bc1 5565d1 |
Quadratic twists by: -3 -7 |