Atkin-Lehner |
2+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
112288b |
Isogeny class |
Conductor |
112288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-1.1892162933984E+20 |
Discriminant |
Eigenvalues |
2+ 3 1 2 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,610808,491447792] |
[a1,a2,a3,a4,a6] |
j |
3473136105984/16388710811 |
j-invariant |
L |
8.5645145357909 |
L(r)(E,1)/r! |
Ω |
0.13382054415072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112288g1 10208c1 |
Quadratic twists by: -4 -11 |