Atkin-Lehner |
2+ 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990b |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8234596252441406250 = -1 · 2 · 34 · 520 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,257062,-128520282] |
[a1,a2,a3,a4,a6] |
j |
1878601733422490699351/8234596252441406250 |
j-invariant |
L |
1.8833947020752 |
L(r)(E,1)/r! |
Ω |
0.1177121688797 |
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 |
127920bv3 47970bk3 79950ce3 |
Quadratic twists by: -4 -3 5 |