Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9520b |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-687820000000 = -1 · 28 · 57 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4681,128019] |
[a1,a2,a3,a4,a6] |
j |
-44319254354944/2686796875 |
j-invariant |
L |
0.89289470493488 |
L(r)(E,1)/r! |
Ω |
0.89289470493488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4760b1 38080bq1 85680cj1 47600f1 |
Quadratic twists by: -4 8 -3 5 |