Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432f |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-655250340864 = -1 · 210 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1568,-31280] |
[a1,a2,a3,a4,a6] |
Generators |
[24:140:1] |
Generators of the group modulo torsion |
j |
416087747708/639892911 |
j-invariant |
L |
4.8240820507946 |
L(r)(E,1)/r! |
Ω |
0.48085623428033 |
Real period |
R |
1.2540343939843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6216i4 49728et3 37296be3 87024bk3 |
Quadratic twists by: -4 8 -3 -7 |