Atkin-Lehner |
2- 3+ 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178bd |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-99919824454296 = -1 · 23 · 33 · 72 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,199,480881] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:540:1] [-47:628:1] |
Generators of the group modulo torsion |
j |
32431240269/3700734239048 |
j-invariant |
L |
14.84736281487 |
L(r)(E,1)/r! |
Ω |
0.47365688123286 |
Real period |
R |
0.870728920383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178a2 |
Quadratic twists by: -3 |