Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856k |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-558379008 = -1 · 212 · 36 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,1136] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-36:1] |
Generators of the group modulo torsion |
j |
512/187 |
j-invariant |
L |
3.6067337170562 |
L(r)(E,1)/r! |
Ω |
1.2726918931752 |
Real period |
R |
0.70848524619663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53856be1 107712cg1 5984d1 |
Quadratic twists by: -4 8 -3 |