Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bk |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
566400 |
Modular degree for the optimal curve |
Δ |
-207926017262640 = -1 · 24 · 310 · 5 · 175 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -3 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34101,-2532546] |
[a1,a2,a3,a4,a6] |
Generators |
[222:942:1] |
Generators of the group modulo torsion |
j |
-274105537379958784/12995376078915 |
j-invariant |
L |
8.4260150431207 |
L(r)(E,1)/r! |
Ω |
0.17517688881495 |
Real period |
R |
4.8100038713461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999892497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620b1 |
Quadratic twists by: -4 |