Atkin-Lehner |
2+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
110960c |
Isogeny class |
Conductor |
110960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21979835603200 = 28 · 52 · 196 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7447,-101514] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:360:1] [-23:240:1] |
Generators of the group modulo torsion |
j |
178413539165136/85858732825 |
j-invariant |
L |
11.86135665011 |
L(r)(E,1)/r! |
Ω |
0.53915338395319 |
Real period |
R |
10.999983496415 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55480e2 |
Quadratic twists by: -4 |