Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582f |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
392903863042068 = 22 · 38 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- -3 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20458,-607760] |
[a1,a2,a3,a4,a6] |
j |
3352478521/1390932 |
j-invariant |
L |
1.6564119527926 |
L(r)(E,1)/r! |
Ω |
0.41410298819815 |
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 |
124656ds1 46746by1 15582g1 |
Quadratic twists by: -4 -3 -7 |