Atkin-Lehner |
11- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8789d |
Isogeny class |
Conductor |
8789 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-7022411 = -1 · 11 · 172 · 472 |
Discriminant |
Eigenvalues |
-2 -3 -3 -4 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,41,-78] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] [7:23:1] |
Generators of the group modulo torsion |
j |
7622111232/7022411 |
j-invariant |
L |
1.4275933036882 |
L(r)(E,1)/r! |
Ω |
1.2930376247533 |
Real period |
R |
0.27601542220421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79101f1 96679e1 |
Quadratic twists by: -3 -11 |