Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
112288g |
Isogeny class |
Conductor |
112288 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[729:18473:1] |
Generators of the group modulo torsion |
j |
3473136105984/16388710811 |
j-invariant |
L |
4.1710912682636 |
L(r)(E,1)/r! |
Ω |
0.094000431416822 |
Real period |
R |
5.5466384458497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112288b1 10208a1 |
Quadratic twists by: -4 -11 |