Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128c |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1465789832192 = -1 · 210 · 76 · 233 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3593,100127] |
[a1,a2,a3,a4,a6] |
j |
-42592000/12167 |
j-invariant |
L |
1.6136149592341 |
L(r)(E,1)/r! |
Ω |
0.80680747263823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128bz2 4508b2 1472b2 |
Quadratic twists by: -4 8 -7 |