Atkin-Lehner |
2- 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990ce |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-4128009569498641500 = -1 · 22 · 315 · 53 · 174 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,317398,69336101] |
[a1,a2,a3,a4,a6] |
Generators |
[189:11569:1] |
Generators of the group modulo torsion |
j |
4850762640723669671/5662564567213500 |
j-invariant |
L |
10.851230106288 |
L(r)(E,1)/r! |
Ω |
0.16466647490942 |
Real period |
R |
2.7457597913271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42330m1 |
Quadratic twists by: -3 |