Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472ca |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2995931676672 = -1 · 215 · 32 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2943,55233] |
[a1,a2,a3,a4,a6] |
j |
85999709944/91428579 |
j-invariant |
L |
2.1233201379616 |
L(r)(E,1)/r! |
Ω |
0.53083003691222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472ch3 32736l2 |
Quadratic twists by: -4 8 |