Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840l |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
12536355225600 = 224 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8256,-230400] |
[a1,a2,a3,a4,a6] |
j |
15195864748609/3060633600 |
j-invariant |
L |
2.031643810952 |
L(r)(E,1)/r! |
Ω |
0.507910952738 |
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 |
1230h1 39360cx1 29520cf1 49200df1 |
Quadratic twists by: -4 8 -3 5 |