Atkin-Lehner |
2+ 3- 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990w |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-1518473083275000 = -1 · 23 · 316 · 55 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-345429,-78078515] |
[a1,a2,a3,a4,a6] |
Generators |
[10481:1066007:1] |
Generators of the group modulo torsion |
j |
-6252781849349183569/2082953475000 |
j-invariant |
L |
6.7968682665663 |
L(r)(E,1)/r! |
Ω |
0.09846255988902 |
Real period |
R |
6.902997635455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330u1 |
Quadratic twists by: -3 |