Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740g |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3921931877614240000 = -1 · 28 · 54 · 72 · 298 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16540,-95283400] |
[a1,a2,a3,a4,a6] |
Generators |
[103817425:632180640:226981] |
Generators of the group modulo torsion |
j |
3286064/25755625 |
j-invariant |
L |
11.654946231588 |
L(r)(E,1)/r! |
Ω |
0.11456341003243 |
Real period |
R |
12.716697943765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060e2 |
Quadratic twists by: 29 |