Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422u |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
636480 |
Modular degree for the optimal curve |
Δ |
-2.538220681968E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,691996,98129927] |
[a1,a2,a3,a4,a6] |
j |
50269842484372470023/34817842002305024 |
j-invariant |
L |
3.4844761945629 |
L(r)(E,1)/r! |
Ω |
0.1340183151755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158b1 |
Quadratic twists by: -3 |