Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bz |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1695081615444 = 22 · 310 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573971,-167228449] |
[a1,a2,a3,a4,a6] |
j |
243824355417817/19764 |
j-invariant |
L |
2.775218047195 |
L(r)(E,1)/r! |
Ω |
0.17345112793879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17934m4 1098k4 |
Quadratic twists by: -3 -7 |