Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bi |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
363505644000000 = 28 · 314 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31287,1922434] |
[a1,a2,a3,a4,a6] |
j |
18148802937424/1947796875 |
j-invariant |
L |
3.125112926122 |
L(r)(E,1)/r! |
Ω |
0.52085215435367 |
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 |
3420e2 54720dx2 4560v2 68400em2 |
Quadratic twists by: -4 8 -3 5 |