Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36540o |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1644609128400 = 24 · 310 · 52 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6312,-182891] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2898:1] |
Generators of the group modulo torsion |
j |
2384389341184/140998725 |
j-invariant |
L |
6.4601318519542 |
L(r)(E,1)/r! |
Ω |
0.53760074516534 |
Real period |
R |
3.0041494129473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180g1 |
Quadratic twists by: -3 |