Atkin-Lehner |
2+ 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990b |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72808903476562500 = 22 · 38 · 510 · 132 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-174668,-24991428] |
[a1,a2,a3,a4,a6] |
j |
589342335121981696969/72808903476562500 |
j-invariant |
L |
1.8833947020752 |
L(r)(E,1)/r! |
Ω |
0.23542433775939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127920bv2 47970bk2 79950ce2 |
Quadratic twists by: -4 -3 5 |