Atkin-Lehner |
2- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840n |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-40357135646720 = -1 · 218 · 5 · 193 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8573,-8574] |
[a1,a2,a3,a4,a6] |
Generators |
[4827:72640:27] |
Generators of the group modulo torsion |
j |
17012268769959/9852816320 |
j-invariant |
L |
4.0104571571332 |
L(r)(E,1)/r! |
Ω |
0.3839193372017 |
Real period |
R |
5.2230465533409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12730d1 |
Quadratic twists by: -4 |