Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cb |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-4283020800 = -1 · 29 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,-270] |
[a1,a2,a3,a4,a6] |
j |
29160/17 |
j-invariant |
L |
1.6336272188227 |
L(r)(E,1)/r! |
Ω |
0.81681308963127 |
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 |
122400cd1 122400e1 122400q1 |
Quadratic twists by: -4 -3 5 |