Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248n |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2482201392316416 = 222 · 36 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79272,-8223120] |
[a1,a2,a3,a4,a6] |
Generators |
[-150761142:-548137395:941192] |
Generators of the group modulo torsion |
j |
13450198349017513/606006199296 |
j-invariant |
L |
6.0561800771609 |
L(r)(E,1)/r! |
Ω |
0.28531735143839 |
Real period |
R |
10.613059539888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5406d2 129744bk2 |
Quadratic twists by: -4 -3 |