Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900f |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-124560878750000 = -1 · 24 · 57 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9800,-385875] |
[a1,a2,a3,a4,a6] |
Generators |
[595:14700:1] |
Generators of the group modulo torsion |
j |
3538944/4235 |
j-invariant |
L |
5.1190518033218 |
L(r)(E,1)/r! |
Ω |
0.31536904160122 |
Real period |
R |
2.0289926752492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780c1 7700g1 |
Quadratic twists by: 5 -7 |