Atkin-Lehner |
2+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81472b |
Isogeny class |
Conductor |
81472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1397407744 = -1 · 214 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 5 -6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3429,-78461] |
[a1,a2,a3,a4,a6] |
Generators |
[381870:8691173:729] |
Generators of the group modulo torsion |
j |
-272228051968/85291 |
j-invariant |
L |
5.3754572026116 |
L(r)(E,1)/r! |
Ω |
0.31193131162046 |
Real period |
R |
8.6164116942059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81472c1 10184a1 |
Quadratic twists by: -4 8 |