Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824d |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-10719234423037952 = -1 · 213 · 78 · 613 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48592,2779456] |
[a1,a2,a3,a4,a6] |
Generators |
[90:2806:1] |
Generators of the group modulo torsion |
j |
537359375/453962 |
j-invariant |
L |
3.569485746614 |
L(r)(E,1)/r! |
Ω |
0.26267608173441 |
Real period |
R |
2.2648209428748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978h2 47824g2 |
Quadratic twists by: -4 -7 |