Atkin-Lehner |
2- 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9798k |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4876111872 = 212 · 36 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-610,4676] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-274:1] [-10:104:1] |
Generators of the group modulo torsion |
j |
25104854795041/4876111872 |
j-invariant |
L |
7.365783058204 |
L(r)(E,1)/r! |
Ω |
1.2985241755448 |
Real period |
R |
0.31513481043094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384q1 29394b1 |
Quadratic twists by: -4 -3 |