Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775v |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
16115655992591925 = 320 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-67548,2868104] |
[a1,a2,a3,a4,a6] |
j |
1363413585016606720/644626239703677 |
j-invariant |
L |
1.3982824234728 |
L(r)(E,1)/r! |
Ω |
0.34957060586821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
92400dj1 17325ba1 5775l2 40425z1 |
Quadratic twists by: -4 -3 5 -7 |