Atkin-Lehner |
2+ 3- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970i |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15280875000 = 23 · 32 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1873,-30772] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:35:1] |
Generators of the group modulo torsion |
j |
726112121784841/15280875000 |
j-invariant |
L |
4.920729234958 |
L(r)(E,1)/r! |
Ω |
0.72668922911692 |
Real period |
R |
1.1285725813719 |
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 |
71910bc2 119850by2 |
Quadratic twists by: -3 5 |