Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536j |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7420543488 = 29 · 38 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,6230] |
[a1,a2,a3,a4,a6] |
j |
111980168/19881 |
j-invariant |
L |
2.5172742535845 |
L(r)(E,1)/r! |
Ω |
1.2586371267922 |
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 |
13536q2 27072ch2 4512k2 |
Quadratic twists by: -4 8 -3 |