Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900j |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-626363276000000 = -1 · 28 · 56 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94733,11255663] |
[a1,a2,a3,a4,a6] |
Generators |
[149:686:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
6.2957608709155 |
L(r)(E,1)/r! |
Ω |
0.5162320037773 |
Real period |
R |
2.0326005958649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2156a2 1100a2 |
Quadratic twists by: 5 -7 |