Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361l |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-34315212747123 = -1 · 33 · 72 · 1110 |
Discriminant |
Eigenvalues |
0 3+ -4 7- 11- 5 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5082,-314449] |
[a1,a2,a3,a4,a6] |
Generators |
[1122:10523:8] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
3.8934549852688 |
L(r)(E,1)/r! |
Ω |
0.26393597658062 |
Real period |
R |
3.6878782457867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361k1 53361d1 4851e1 |
Quadratic twists by: -3 -7 -11 |