Atkin-Lehner |
2+ 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50350d |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-1966796875000 = -1 · 23 · 512 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3125,7125] |
[a1,a2,a3,a4,a6] |
Generators |
[2910:54795:8] |
Generators of the group modulo torsion |
j |
215892017999/125875000 |
j-invariant |
L |
6.6874899876291 |
L(r)(E,1)/r! |
Ω |
0.50137317772059 |
Real period |
R |
3.3345870325579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070e1 |
Quadratic twists by: 5 |