Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bd |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1323551250000 = 24 · 32 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18783,995562] |
[a1,a2,a3,a4,a6] |
j |
24918016/45 |
j-invariant |
L |
1.716669585251 |
L(r)(E,1)/r! |
Ω |
0.85833479229937 |
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 |
29400bt1 11760x1 1200e1 |
Quadratic twists by: -4 5 -7 |