Atkin-Lehner |
3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747h |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-222729215819162283 = -1 · 39 · 74 · 112 · 794 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99477,19203804] |
[a1,a2,a3,a4,a6] |
Generators |
[1350:50409:8] |
Generators of the group modulo torsion |
j |
149335055070013007/305527045019427 |
j-invariant |
L |
4.6360294828114 |
L(r)(E,1)/r! |
Ω |
0.2176710410536 |
Real period |
R |
5.3245822920905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18249i4 |
Quadratic twists by: -3 |