Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bm |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-18384729725270601 = -1 · 36 · 76 · 118 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 11- -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1601942,780829382] |
[a1,a2,a3,a4,a6] |
Generators |
[-960:38338:1] [3390:105023:8] |
Generators of the group modulo torsion |
j |
-24729001 |
j-invariant |
L |
6.7497944002395 |
L(r)(E,1)/r! |
Ω |
0.36358524797052 |
Real period |
R |
1.5470453485844 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5929d2 1089h2 53361bh1 |
Quadratic twists by: -3 -7 -11 |