Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096w |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-440384256 = -1 · 28 · 33 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,1161] |
[a1,a2,a3,a4,a6] |
Generators |
[5:26:1] |
Generators of the group modulo torsion |
j |
-697827328/1720251 |
j-invariant |
L |
2.7907352369054 |
L(r)(E,1)/r! |
Ω |
1.4793799355883 |
Real period |
R |
0.31440370948336 |
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 |
4524f1 72384dd1 54288bz1 |
Quadratic twists by: -4 8 -3 |