Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
15456o |
Isogeny class |
Conductor |
15456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6676992 = 29 · 34 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139104,-19922760] |
[a1,a2,a3,a4,a6] |
j |
581400938887066376/13041 |
j-invariant |
L |
1.9776725102779 |
L(r)(E,1)/r! |
Ω |
0.24720906378474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15456r3 30912ck4 46368u4 108192cc4 |
Quadratic twists by: -4 8 -3 -7 |