Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050m |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
48050000000 = 27 · 58 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -6 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10575,-422875] |
[a1,a2,a3,a4,a6] |
Generators |
[-482:319:8] |
Generators of the group modulo torsion |
j |
348454105/128 |
j-invariant |
L |
6.0056575815262 |
L(r)(E,1)/r! |
Ω |
0.47079700084882 |
Real period |
R |
4.2521210986954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050x1 48050i1 |
Quadratic twists by: 5 -31 |