Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15939i |
Isogeny class |
Conductor |
15939 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1291059 = 36 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11- -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,157] |
[a1,a2,a3,a4,a6] |
j |
24137569/1771 |
j-invariant |
L |
2.662349229096 |
L(r)(E,1)/r! |
Ω |
2.662349229096 |
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 |
1771d1 111573bg1 |
Quadratic twists by: -3 -7 |