Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28116c |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
11806020864 = 28 · 310 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5592,160868] |
[a1,a2,a3,a4,a6] |
Generators |
[28:162:1] |
Generators of the group modulo torsion |
j |
103623368704/63261 |
j-invariant |
L |
6.620211165459 |
L(r)(E,1)/r! |
Ω |
1.2573015063049 |
Real period |
R |
0.43878438148826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464bk1 9372a1 |
Quadratic twists by: -4 -3 |