Atkin-Lehner |
2- 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850by |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
238763671875000 = 23 · 32 · 512 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46813,-3846469] |
[a1,a2,a3,a4,a6] |
j |
726112121784841/15280875000 |
j-invariant |
L |
3.8998240987255 |
L(r)(E,1)/r! |
Ω |
0.32498530296447 |
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 |
23970i2 |
Quadratic twists by: 5 |