Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700br |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
114671700000000 = 28 · 36 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30000,1932500] |
[a1,a2,a3,a4,a6] |
Generators |
[9298:313643:8] |
Generators of the group modulo torsion |
j |
40960000/1573 |
j-invariant |
L |
8.5163582487464 |
L(r)(E,1)/r! |
Ω |
0.58670607276508 |
Real period |
R |
7.2577724289172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999191687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300l1 128700i1 |
Quadratic twists by: -3 5 |