Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9765b |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-692094375 = -1 · 36 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,210,431] |
[a1,a2,a3,a4,a6] |
j |
1401168159/949375 |
j-invariant |
L |
2.0276947347554 |
L(r)(E,1)/r! |
Ω |
1.0138473673777 |
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 |
1085e1 48825be1 68355bg1 |
Quadratic twists by: -3 5 -7 |