Atkin-Lehner |
2+ 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920i |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4603500000000000 = 211 · 33 · 512 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-398040,-96470388] |
[a1,a2,a3,a4,a6] |
j |
3405453884627667122/2247802734375 |
j-invariant |
L |
2.2809524781447 |
L(r)(E,1)/r! |
Ω |
0.19007937319245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bi4 122760bp4 |
Quadratic twists by: -4 -3 |