Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8830976000000 = 220 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-375233,-88345663] |
[a1,a2,a3,a4,a6] |
j |
1426487591593/2156 |
j-invariant |
L |
0.77158437968594 |
L(r)(E,1)/r! |
Ω |
0.1928964527132 |
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 |
123200ex2 3850v2 4928f2 |
Quadratic twists by: -4 8 5 |