Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830ch |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
17705168179200 = 212 · 38 · 52 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6728,65931] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-1143:1] [-75:417:1] |
Generators of the group modulo torsion |
j |
46194855702841/24286924800 |
j-invariant |
L |
15.745346932559 |
L(r)(E,1)/r! |
Ω |
0.60680266065971 |
Real period |
R |
0.54058441472217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610h1 |
Quadratic twists by: -3 |