Atkin-Lehner |
2- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
34364d |
Isogeny class |
Conductor |
34364 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5904 |
Modular degree for the optimal curve |
Δ |
-137456 = -1 · 24 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -3 -3 2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] [3:7:1] |
Generators of the group modulo torsion |
j |
76032/71 |
j-invariant |
L |
5.1071295469895 |
L(r)(E,1)/r! |
Ω |
1.7925076742852 |
Real period |
R |
0.94971783947426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34364e1 |
Quadratic twists by: -11 |