Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bp |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
18469440000000 = 212 · 32 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150838,22484531] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:6687:1] |
Generators of the group modulo torsion |
j |
24290483646693529/1182044160 |
j-invariant |
L |
7.1501392488705 |
L(r)(E,1)/r! |
Ω |
0.64921993223211 |
Real period |
R |
0.91778595610005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019854 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17490f1 |
Quadratic twists by: 5 |