Atkin-Lehner |
3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173h |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-91779024743307 = -1 · 312 · 11 · 17 · 314 |
Discriminant |
Eigenvalues |
0 3- 2 -3 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3954,470754] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:666:1] [-4:697:1] |
Generators of the group modulo torsion |
j |
-9377912553472/125897153283 |
j-invariant |
L |
8.304061488394 |
L(r)(E,1)/r! |
Ω |
0.51073465456723 |
Real period |
R |
2.0323815444419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17391i1 |
Quadratic twists by: -3 |