Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bh |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74276818560000 = 210 · 38 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13683,-455618] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:112:1] [-69:400:1] |
Generators of the group modulo torsion |
j |
379524841924/99500625 |
j-invariant |
L |
8.9847739582702 |
L(r)(E,1)/r! |
Ω |
0.45001616073627 |
Real period |
R |
4.9913618344118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760w2 15960k2 |
Quadratic twists by: -4 -3 |