Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dm |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.5272036631646E+20 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9752993,11701712705] |
[a1,a2,a3,a4,a6] |
j |
391379047744832043625/964051690355138 |
j-invariant |
L |
2.8094410716485 |
L(r)(E,1)/r! |
Ω |
0.17559007265772 |
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 |
113344bc2 28336s2 |
Quadratic twists by: -4 8 |