Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ba |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
3543122000 = 24 · 53 · 116 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403,-1098] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:285:8] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
8.0921196568723 |
L(r)(E,1)/r! |
Ω |
1.1192448672355 |
Real period |
R |
3.6149907378429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200q1 48400bc1 400d1 |
Quadratic twists by: -4 5 -11 |