Atkin-Lehner |
2+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74176a |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-37066637312 = -1 · 219 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 1 2 1 0 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,543,8063] |
[a1,a2,a3,a4,a6] |
Generators |
[19:160:1] |
Generators of the group modulo torsion |
j |
67419143/141398 |
j-invariant |
L |
9.528916931085 |
L(r)(E,1)/r! |
Ω |
0.80033846105668 |
Real period |
R |
1.488263621242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176p1 2318b1 |
Quadratic twists by: -4 8 |