Atkin-Lehner |
19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15523c |
Isogeny class |
Conductor |
15523 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-730293210763 = -1 · 198 · 43 |
Discriminant |
Eigenvalues |
0 2 -2 -4 -5 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,241,-41171] |
[a1,a2,a3,a4,a6] |
Generators |
[37:130:1] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
3.4829393296932 |
L(r)(E,1)/r! |
Ω |
0.42196116777353 |
Real period |
R |
4.1270851392212 |
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 |
817a1 |
Quadratic twists by: -19 |