Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110k |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-857200361472000 = -1 · 218 · 35 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56032,5272576] |
[a1,a2,a3,a4,a6] |
Generators |
[192:1184:1] |
Generators of the group modulo torsion |
j |
-397052665540282969/17493884928000 |
j-invariant |
L |
3.0286655358725 |
L(r)(E,1)/r! |
Ω |
0.4956453299325 |
Real period |
R |
1.0184249882488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330dx2 95550ka2 19110t2 |
Quadratic twists by: -3 5 -7 |