Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286a |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86143974789708 = 22 · 33 · 118 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68004,-6839532] |
[a1,a2,a3,a4,a6] |
j |
19632741836833/48626028 |
j-invariant |
L |
1.1827412405405 |
L(r)(E,1)/r! |
Ω |
0.29568531017956 |
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 |
4026h2 |
Quadratic twists by: -11 |