Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176g |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-113447936 = -1 · 210 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152,836] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
-381775972/110789 |
j-invariant |
L |
4.6594390520553 |
L(r)(E,1)/r! |
Ω |
1.7748770646445 |
Real period |
R |
0.43753631776068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18088a1 |
Quadratic twists by: -4 |