Atkin-Lehner |
2- 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584v |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32486400 |
Modular degree for the optimal curve |
Δ |
-3285484136613358848 = -1 · 28 · 321 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1801860807,-29439468968110] |
[a1,a2,a3,a4,a6] |
Generators |
[1450166867863724945479222460893546979473369437902681259590333972632986030602:654752327970842332436384695335728071933817801422634479599721740363198809092338:6809462351433065883511053928173441071964542418092890905095864158081721] |
Generators of the group modulo torsion |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
5.2998391231593 |
L(r)(E,1)/r! |
Ω |
0.011586152734692 |
Real period |
R |
114.35718233047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18396i1 24528i1 |
Quadratic twists by: -4 -3 |