Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450s |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2472000000000000000 = -1 · 218 · 3 · 515 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-244588,-88927219] |
[a1,a2,a3,a4,a6] |
j |
-103564099802433529/158208000000000 |
j-invariant |
L |
3.6660729428395 |
L(r)(E,1)/r! |
Ω |
0.10183535952332 |
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 |
123600ce3 46350h3 3090b3 |
Quadratic twists by: -4 -3 5 |