Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384dl |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
293811867648 = 212 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-454857,117924183] |
[a1,a2,a3,a4,a6] |
j |
2540910494160077248/71731413 |
j-invariant |
L |
5.6856402986538 |
L(r)(E,1)/r! |
Ω |
0.71070503781308 |
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 |
72384cf2 36192w1 |
Quadratic twists by: -4 8 |