Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cl |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5359678072336809984 = -1 · 217 · 3 · 76 · 415 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-454355456,-3727858162764] |
[a1,a2,a3,a4,a6] |
j |
-21525971829968662032241/11122195296 |
j-invariant |
L |
3.2700214074322 |
L(r)(E,1)/r! |
Ω |
0.016350107861429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054z2 1968h2 |
Quadratic twists by: -4 -7 |