Atkin-Lehner |
19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
19133b |
Isogeny class |
Conductor |
19133 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-906429743061211 = -1 · 199 · 532 |
Discriminant |
Eigenvalues |
-2 0 -3 -1 3 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,22021,718480] |
[a1,a2,a3,a4,a6] |
Generators |
[190:3429:1] |
Generators of the group modulo torsion |
j |
25102282752/19266931 |
j-invariant |
L |
1.3659462407413 |
L(r)(E,1)/r! |
Ω |
0.31915132544801 |
Real period |
R |
0.53499160579384 |
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 |
1007a1 |
Quadratic twists by: -19 |