Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550bs |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
15052800 |
Modular degree for the optimal curve |
Δ |
3.671798310627E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64096263,-195376905219] |
[a1,a2,a3,a4,a6] |
j |
74552430527558538660625/939980367520520832 |
j-invariant |
L |
5.9805426964824 |
L(r)(E,1)/r! |
Ω |
0.053397702884418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550u1 |
Quadratic twists by: 5 |