Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bc |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1961385421149 = 39 · 77 · 112 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3234,-21695] |
[a1,a2,a3,a4,a6] |
Generators |
[91:661:1] [-334:1607:8] |
Generators of the group modulo torsion |
j |
360448/189 |
j-invariant |
L |
6.7864032391716 |
L(r)(E,1)/r! |
Ω |
0.67106076125705 |
Real period |
R |
1.264118622146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787g1 7623e1 53361bb1 |
Quadratic twists by: -3 -7 -11 |