Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840k |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24031299612902400 = 210 · 34 · 52 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1614816,-790331580] |
[a1,a2,a3,a4,a6] |
j |
454771411897393003396/23468066028225 |
j-invariant |
L |
1.0714208733614 |
L(r)(E,1)/r! |
Ω |
0.13392760917018 |
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 |
10920b2 87360fc2 65520bb2 109200t2 |
Quadratic twists by: -4 8 -3 5 |