Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36192bb |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-41693184 = -1 · 212 · 33 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -2 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-261] |
[a1,a2,a3,a4,a6] |
Generators |
[5:12:1] |
Generators of the group modulo torsion |
j |
3511808/10179 |
j-invariant |
L |
8.5472783051639 |
L(r)(E,1)/r! |
Ω |
1.0439886265208 |
Real period |
R |
1.3645228961366 |
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 |
36192v1 72384cq1 108576n1 |
Quadratic twists by: -4 8 -3 |