Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bt |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-189845791443 = -1 · 37 · 72 · 116 |
Discriminant |
Eigenvalues |
2 3- -2 7- 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2541,-53573] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
2.6739076414597 |
L(r)(E,1)/r! |
Ω |
0.33423845529932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787k1 53361u1 441f1 |
Quadratic twists by: -3 -7 -11 |