Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456g |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34037598787584 = -1 · 211 · 3 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2728,274380] |
[a1,a2,a3,a4,a6] |
Generators |
[170:4675:8] |
Generators of the group modulo torsion |
j |
9314926/141267 |
j-invariant |
L |
5.9040228636877 |
L(r)(E,1)/r! |
Ω |
0.48599333513705 |
Real period |
R |
6.074180895941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912t2 109368ca2 5208f2 |
Quadratic twists by: -4 -3 -7 |