Atkin-Lehner |
2- 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384r |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7384399872 = 216 · 3 · 232 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290808,-60264336] |
[a1,a2,a3,a4,a6] |
Generators |
[550953390:53003223118:59319] |
Generators of the group modulo torsion |
j |
664024810191765625/1802832 |
j-invariant |
L |
6.4979754880612 |
L(r)(E,1)/r! |
Ω |
0.20558803845849 |
Real period |
R |
15.803388996998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798d2 |
Quadratic twists by: -4 |