Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850f |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336902343750000 = 24 · 32 · 512 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-233333275,1371773318125] |
[a1,a2,a3,a4,a6] |
j |
89915325165584559422632369/21561750000 |
j-invariant |
L |
0.88447668443915 |
L(r)(E,1)/r! |
Ω |
0.22111917111125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550ee2 7770y2 |
Quadratic twists by: -3 5 |