Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cu |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
6233497256250000 = 24 · 34 · 58 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181938,-29642508] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:504:1] |
Generators of the group modulo torsion |
j |
42625951280003161/398943824400 |
j-invariant |
L |
9.9716030894333 |
L(r)(E,1)/r! |
Ω |
0.23129381756861 |
Real period |
R |
1.3472586505786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570e2 |
Quadratic twists by: 5 |