Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128u |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3124800 |
Modular degree for the optimal curve |
Δ |
-1.0442226990388E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 3 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7080328,13750235760] |
[a1,a2,a3,a4,a6] |
Generators |
[-2227330202778809647944612590:-230484800649716363443115801650:2692673062142374829114857] |
Generators of the group modulo torsion |
j |
11692487/31104 |
j-invariant |
L |
6.6917949251178 |
L(r)(E,1)/r! |
Ω |
0.074290490418771 |
Real period |
R |
45.038031700939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766f1 46128w1 |
Quadratic twists by: -4 -31 |