Atkin-Lehner |
2+ 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
108072d |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3784176527616 = 28 · 38 · 192 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18039,-927830] |
[a1,a2,a3,a4,a6] |
Generators |
[-475589114:-394622955:6028568] |
Generators of the group modulo torsion |
j |
3478512707152/20277009 |
j-invariant |
L |
10.373383200617 |
L(r)(E,1)/r! |
Ω |
0.41209647482622 |
Real period |
R |
12.586109994072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36024f2 |
Quadratic twists by: -3 |