Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955k |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3857885438556503025 = 34 · 52 · 714 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5845946,-5440059885] |
[a1,a2,a3,a4,a6] |
j |
187801853781525192721/32791485168225 |
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 |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116865bc2 5565d2 |
Quadratic twists by: -3 -7 |