Atkin-Lehner |
2- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
56560t |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
-1.2781440066752E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,391600,143709952] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:2870:1] [2024:96040:1] |
Generators of the group modulo torsion |
j |
1621402000530404399/3120468766296875 |
j-invariant |
L |
8.6407527119161 |
L(r)(E,1)/r! |
Ω |
0.154805610241 |
Real period |
R |
0.21142724645345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3535a1 |
Quadratic twists by: -4 |