Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320c |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
20640000 = 28 · 3 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,160] |
[a1,a2,a3,a4,a6] |
j |
192143824/80625 |
j-invariant |
L |
1.9511572034051 |
L(r)(E,1)/r! |
Ω |
1.9511572034051 |
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 |
5160e1 41280dj1 30960p1 51600x1 |
Quadratic twists by: -4 8 -3 5 |