Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400cv |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
468839301120000000 = 230 · 35 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-965633,-364063137] |
[a1,a2,a3,a4,a6] |
j |
24310870577209/114462720 |
j-invariant |
L |
3.0468393733255 |
L(r)(E,1)/r! |
Ω |
0.15234196281966 |
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 |
110400gk1 3450o1 22080u1 |
Quadratic twists by: -4 8 5 |