Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361u |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-22335167517477507 = -1 · 37 · 78 · 116 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-124509,18375453] |
[a1,a2,a3,a4,a6] |
Generators |
[40964:907105:64] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
14.259887157933 |
L(r)(E,1)/r! |
Ω |
0.37148759022907 |
Real period |
R |
3.1988253742074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787m1 53361bt1 441e1 |
Quadratic twists by: -3 -7 -11 |