Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536q |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[10270:87408:125] |
Generators of the group modulo torsion |
j |
111980168/19881 |
j-invariant |
L |
6.2406900011543 |
L(r)(E,1)/r! |
Ω |
0.93190512190769 |
Real period |
R |
6.6967010422467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13536j2 27072cs2 4512p2 |
Quadratic twists by: -4 8 -3 |