Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956g |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.6438355679846E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67105908,211656778488] |
[a1,a2,a3,a4,a6] |
Generators |
[144154512:-26367712371:4096] |
Generators of the group modulo torsion |
j |
-1109628964475955250000/286997617382553 |
j-invariant |
L |
5.1003254973655 |
L(r)(E,1)/r! |
Ω |
0.12733604733701 |
Real period |
R |
10.013514631529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708i4 |
Quadratic twists by: -7 |