Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400bh |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
122400000000 = 211 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18008,-936012] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:12:1] |
Generators of the group modulo torsion |
j |
20183398562/3825 |
j-invariant |
L |
5.7784463945021 |
L(r)(E,1)/r! |
Ω |
0.41213178806429 |
Real period |
R |
1.7526088019206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10200g2 81600gn2 61200bk2 4080g2 |
Quadratic twists by: -4 8 -3 5 |