Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384dd |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-15583985664 = -1 · 214 · 3 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50389,4336883] |
[a1,a2,a3,a4,a6] |
j |
-863613873553408/951171 |
j-invariant |
L |
3.138238767395 |
L(r)(E,1)/r! |
Ω |
1.0460795844058 |
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 |
72384k2 18096w2 |
Quadratic twists by: -4 8 |