Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584w |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
694556299496521728 = 226 · 310 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-581115,-165724886] |
[a1,a2,a3,a4,a6] |
j |
7268126762877625/232605499392 |
j-invariant |
L |
1.3860387821705 |
L(r)(E,1)/r! |
Ω |
0.17325484875936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198l1 24528o1 |
Quadratic twists by: -4 -3 |