Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900i |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2964500000000 = -1 · 28 · 59 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3092,-48812] |
[a1,a2,a3,a4,a6] |
Generators |
[1434:20075:8] |
Generators of the group modulo torsion |
j |
16674224/15125 |
j-invariant |
L |
6.9080768898679 |
L(r)(E,1)/r! |
Ω |
0.43996965912841 |
Real period |
R |
3.9253143634889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780e1 53900b1 |
Quadratic twists by: 5 -7 |