Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ds |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1556579640066048 = 214 · 39 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91260,10440144] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:4563:1] [48:2484:1] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
10.140091856319 |
L(r)(E,1)/r! |
Ω |
0.47629757866456 |
Real period |
R |
5.3223511474444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344c4 24336ba4 97344ds2 576e4 |
Quadratic twists by: -4 8 -3 13 |