Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19841483200000000 = -1 · 212 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ -4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21033,6871063] |
[a1,a2,a3,a4,a6] |
j |
-16079333824/310023175 |
j-invariant |
L |
1.2961195414659 |
L(r)(E,1)/r! |
Ω |
0.32402990267366 |
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 |
123200z2 61600q1 24640d2 |
Quadratic twists by: -4 8 5 |