Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645h |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
61057505646654075 = 37 · 52 · 138 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4933755,4219293726] |
[a1,a2,a3,a4,a6] |
j |
18219186097592883464881/83755151778675 |
j-invariant |
L |
2.4760976095195 |
L(r)(E,1)/r! |
Ω |
0.30951220118994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7215j5 108225h6 |
Quadratic twists by: -3 5 |