Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bs |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-20776504843571568 = -1 · 24 · 3 · 74 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141203,21509249] |
[a1,a2,a3,a4,a6] |
j |
-29360639125/1959216 |
j-invariant |
L |
3.0183503412401 |
L(r)(E,1)/r! |
Ω |
0.37729388300448 |
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 |
120666h1 |
Quadratic twists by: 13 |