Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bw |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.4677823306363E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4897696,4146728180] |
[a1,a2,a3,a4,a6] |
j |
3172044912000633463969/20673296705655000 |
j-invariant |
L |
2.3144013771707 |
L(r)(E,1)/r! |
Ω |
0.19286678127182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570r3 |
Quadratic twists by: -4 |