Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490dq |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
107633938031851140 = 22 · 36 · 5 · 76 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-128190,-7943040] |
[a1,a2,a3,a4,a6] |
j |
48264326765929/22299191460 |
j-invariant |
L |
3.164713676165 |
L(r)(E,1)/r! |
Ω |
0.26372613968096 |
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 |
106470bm1 2730o1 |
Quadratic twists by: -3 13 |