Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15288q |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-1924368988375701504 = -1 · 211 · 39 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1979224,1073159408] |
[a1,a2,a3,a4,a6] |
j |
-1482171386066/3326427 |
j-invariant |
L |
4.742931496619 |
L(r)(E,1)/r! |
Ω |
0.26349619425661 |
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 |
30576o1 122304bl1 45864cb1 15288c1 |
Quadratic twists by: -4 8 -3 -7 |