Atkin-Lehner |
2- 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72922d |
Isogeny class |
Conductor |
72922 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
244188 |
Modular degree for the optimal curve |
Δ |
-622806169157632 = -1 · 217 · 196 · 101 |
Discriminant |
Eigenvalues |
2- 0 2 1 4 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1376,1200195] |
[a1,a2,a3,a4,a6] |
j |
6128487/13238272 |
j-invariant |
L |
6.8498150688871 |
L(r)(E,1)/r! |
Ω |
0.40293029733886 |
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 |
202a1 |
Quadratic twists by: -19 |