Atkin-Lehner |
3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165n |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3989252025 = 39 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8447,300894] |
[a1,a2,a3,a4,a6] |
Generators |
[42:116:1] |
Generators of the group modulo torsion |
j |
91422999252649/5472225 |
j-invariant |
L |
3.6413997341404 |
L(r)(E,1)/r! |
Ω |
1.3181816367989 |
Real period |
R |
1.3812207788689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055a1 |
Quadratic twists by: -3 |