Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472i |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
79054205184903168 = 211 · 312 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123555,-9820226] |
[a1,a2,a3,a4,a6] |
j |
139716342013250/52950186729 |
j-invariant |
L |
1.5772728359099 |
L(r)(E,1)/r! |
Ω |
0.26287880598464 |
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 |
64944k2 10824h2 |
Quadratic twists by: -4 -3 |