Atkin-Lehner |
11- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8789b |
Isogeny class |
Conductor |
8789 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
128679749 = 115 · 17 · 47 |
Discriminant |
Eigenvalues |
1 0 -3 -1 11- -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-626,6163] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:79:1] [18:13:1] |
Generators of the group modulo torsion |
j |
27154192595193/128679749 |
j-invariant |
L |
5.8750085192318 |
L(r)(E,1)/r! |
Ω |
1.8621837563406 |
Real period |
R |
0.63098053553827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79101e1 96679d1 |
Quadratic twists by: -3 -11 |