Atkin-Lehner |
5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18755g |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-159886375 = -1 · 53 · 113 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85,672] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:23:1] [-1:28:1] |
Generators of the group modulo torsion |
j |
-51064811/120125 |
j-invariant |
L |
3.1924248551621 |
L(r)(E,1)/r! |
Ω |
1.6119936954493 |
Real period |
R |
0.66014006220468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93775a1 18755f1 |
Quadratic twists by: 5 -11 |