Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110k |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-2924881202880 = -1 · 26 · 315 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3503,21589] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:23:1] |
Generators of the group modulo torsion |
j |
96973777690391/59691453120 |
j-invariant |
L |
3.0286655358725 |
L(r)(E,1)/r! |
Ω |
0.4956453299325 |
Real period |
R |
3.0552749647464 |
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 |
57330dx1 95550ka1 19110t1 |
Quadratic twists by: -3 5 -7 |