Atkin-Lehner |
2- 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7930a |
Isogeny class |
Conductor |
7930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
25970056626176000 = 232 · 53 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104126,10307323] |
[a1,a2,a3,a4,a6] |
j |
124853732088588711649/25970056626176000 |
j-invariant |
L |
5.6978224772061 |
L(r)(E,1)/r! |
Ω |
0.35611390482538 |
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 |
63440i1 71370i1 39650d1 103090e1 |
Quadratic twists by: -4 -3 5 13 |