Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bm |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52297195622400000 = 215 · 312 · 55 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103201,-6429215] |
[a1,a2,a3,a4,a6] |
j |
3709622372097608/1595983753125 |
j-invariant |
L |
1.107793144877 |
L(r)(E,1)/r! |
Ω |
0.27694828621925 |
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 |
29760ck2 14880h2 89280ey2 |
Quadratic twists by: -4 8 -3 |