Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120k |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-10356346627200000 = -1 · 210 · 36 · 55 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47704,-2793120] |
[a1,a2,a3,a4,a6] |
j |
11724087216306524/10113619753125 |
j-invariant |
L |
2.6875395129249 |
L(r)(E,1)/r! |
Ω |
0.22396162607616 |
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 |
72240h2 108360bp2 |
Quadratic twists by: -4 -3 |