Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bh |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-91286345427228 = -1 · 22 · 33 · 72 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10250,611525] |
[a1,a2,a3,a4,a6] |
j |
-7414875/5684 |
j-invariant |
L |
4.4307659500148 |
L(r)(E,1)/r! |
Ω |
0.553845781301 |
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 |
105966b1 3654b1 |
Quadratic twists by: -3 29 |