Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456t |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3473305594714368 = 28 · 312 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51172,3453892] |
[a1,a2,a3,a4,a6] |
j |
492040858192/115322697 |
j-invariant |
L |
3.3497278134871 |
L(r)(E,1)/r! |
Ω |
0.41871597668806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912u1 109368x1 5208l1 |
Quadratic twists by: -4 -3 -7 |