Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872i |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
7078987686144 = 28 · 3 · 118 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-629724,-192131916] |
[a1,a2,a3,a4,a6] |
Generators |
[-1304979456743378691650254078:8780289709758687039691520:2849429863007660943100819] |
Generators of the group modulo torsion |
j |
60894639222352/15609 |
j-invariant |
L |
6.7684768510252 |
L(r)(E,1)/r! |
Ω |
0.16947745845092 |
Real period |
R |
39.937328459527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998912385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11352k1 |
Quadratic twists by: -11 |