Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5565d |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
77686524665150625 = 38 · 54 · 74 · 534 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-131310,12418890] |
[a1,a2,a3,a4,a6] |
j |
250390197566955663841/77686524665150625 |
j-invariant |
L |
0.63618858554734 |
L(r)(E,1)/r! |
Ω |
0.31809429277367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
89040cp4 16695j3 27825l4 38955k4 |
Quadratic twists by: -4 -3 5 -7 |