Atkin-Lehner |
2- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44042f |
Isogeny class |
Conductor |
44042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-45916779856 = -1 · 24 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 -5 -3 3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,895,79] |
[a1,a2,a3,a4,a6] |
Generators |
[3:346:27] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
11.533366673837 |
L(r)(E,1)/r! |
Ω |
0.67537343159141 |
Real period |
R |
2.1346276989824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122a1 |
Quadratic twists by: -19 |