Atkin-Lehner |
2+ 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19998j |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-71272872 = -1 · 23 · 36 · 112 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52677,-4640355] |
[a1,a2,a3,a4,a6] |
j |
-22175014984908625/97768 |
j-invariant |
L |
0.63026603750742 |
L(r)(E,1)/r! |
Ω |
0.15756650937685 |
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 |
2222a1 |
Quadratic twists by: -3 |