Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232ct |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1046631775666176 = -1 · 216 · 316 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22911,-793089] |
[a1,a2,a3,a4,a6] |
Generators |
[42:495:1] |
Generators of the group modulo torsion |
j |
20293500269948/15970333491 |
j-invariant |
L |
7.0068996760161 |
L(r)(E,1)/r! |
Ω |
0.27366877037629 |
Real period |
R |
3.200447234895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232l3 17808c4 |
Quadratic twists by: -4 8 |