Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710ba |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-254294518500 = -1 · 22 · 313 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10148,-391669] |
[a1,a2,a3,a4,a6] |
Generators |
[2238:33383:8] |
Generators of the group modulo torsion |
j |
-158524881613561/348826500 |
j-invariant |
L |
7.9659138551236 |
L(r)(E,1)/r! |
Ω |
0.2378047520672 |
Real period |
R |
4.1872133472298 |
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 |
9570o1 |
Quadratic twists by: -3 |