Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fa |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7881401250000 = 24 · 38 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,95875] |
[a1,a2,a3,a4,a6] |
j |
112377856/43245 |
j-invariant |
L |
1.3475694246604 |
L(r)(E,1)/r! |
Ω |
0.67378441442649 |
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 |
27900e1 37200dd1 22320br1 |
Quadratic twists by: -4 -3 5 |