Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048l |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-222475200192 = -1 · 26 · 32 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273,22851] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:147:1] |
Generators of the group modulo torsion |
j |
-35287552000/3476175003 |
j-invariant |
L |
5.4077446149976 |
L(r)(E,1)/r! |
Ω |
0.81813841038277 |
Real period |
R |
0.41311351988929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90048bk1 1407f1 |
Quadratic twists by: -4 8 |