Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cf |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2580771065741180928 = -1 · 218 · 38 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17844,77286256] |
[a1,a2,a3,a4,a6] |
Generators |
[488:14220:1] |
Generators of the group modulo torsion |
j |
3288008303/13504609503 |
j-invariant |
L |
4.0160808795917 |
L(r)(E,1)/r! |
Ω |
0.20176107323634 |
Real period |
R |
4.9762831045389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ea5 693d6 14784bm6 |
Quadratic twists by: -4 8 -3 |