Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584bc |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1538044526592 = 216 · 38 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10155,389338] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:864:1] [26:378:1] |
Generators of the group modulo torsion |
j |
38786091625/515088 |
j-invariant |
L |
10.449950815632 |
L(r)(E,1)/r! |
Ω |
0.8498910969036 |
Real period |
R |
1.5369543894737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198h1 24528u1 |
Quadratic twists by: -4 -3 |