Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ft |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.3538385655455E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50908884,-186922833968] |
[a1,a2,a3,a4,a6] |
Generators |
[48624787904608744201381079487140:-6762319104454522901287605873450864:2861587997173182796353710875] |
Generators of the group modulo torsion |
j |
93603087383/150994944 |
j-invariant |
L |
7.1631241882139 |
L(r)(E,1)/r! |
Ω |
0.035583528844267 |
Real period |
R |
50.326122934319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cm2 24336bz2 32448dg2 97344fy2 |
Quadratic twists by: -4 8 -3 13 |