Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584bh |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1599956922138624 = -1 · 232 · 36 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47619,4438530] |
[a1,a2,a3,a4,a6] |
Generators |
[12580:104635:64] |
Generators of the group modulo torsion |
j |
-3999236143617/535822336 |
j-invariant |
L |
7.494958902789 |
L(r)(E,1)/r! |
Ω |
0.4600111236571 |
Real period |
R |
8.1464974621222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198d1 8176a1 |
Quadratic twists by: -4 -3 |