Atkin-Lehner |
2+ 3- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894k |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
32704 |
Modular degree for the optimal curve |
Δ |
-699288876 = -1 · 22 · 37 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 11+ 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1030,12692] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-379:1] [19:-1:1] |
Generators of the group modulo torsion |
j |
-120678285194713/699288876 |
j-invariant |
L |
6.0663762216332 |
L(r)(E,1)/r! |
Ω |
1.6175626608963 |
Real period |
R |
0.13393996960199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bq1 |
Quadratic twists by: -3 |