Atkin-Lehner |
2- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44042h |
Isogeny class |
Conductor |
44042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6652193481638 = -1 · 2 · 197 · 612 |
Discriminant |
Eigenvalues |
2- 1 -2 1 0 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3061,-105337] |
[a1,a2,a3,a4,a6] |
j |
67419143/141398 |
j-invariant |
L |
3.1210554867575 |
L(r)(E,1)/r! |
Ω |
0.39013193586338 |
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 |
2318b1 |
Quadratic twists by: -19 |