Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584u |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
31145401663488 = 214 · 312 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8139,-88198] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:432:1] |
Generators of the group modulo torsion |
j |
19968681097/10430532 |
j-invariant |
L |
7.7991231015524 |
L(r)(E,1)/r! |
Ω |
0.53248098730478 |
Real period |
R |
1.8308454402439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9198k1 24528h1 |
Quadratic twists by: -4 -3 |