Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360bu |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
24871438800 = 24 · 314 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,731] |
[a1,a2,a3,a4,a6] |
j |
3718856704/2132325 |
j-invariant |
L |
2.0432740152708 |
L(r)(E,1)/r! |
Ω |
1.0216370076354 |
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 |
2340h1 37440ej1 3120n1 46800ed1 |
Quadratic twists by: -4 8 -3 5 |