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 |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-14082375000000 = -1 · 26 · 3 · 59 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,187,-180469] |
[a1,a2,a3,a4,a6] |
j |
46268279/901272000 |
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 |
23970i1 |
Quadratic twists by: 5 |