Atkin-Lehner |
2+ 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530b |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8755200 |
Modular degree for the optimal curve |
Δ |
-1.7898469146837E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11+ -5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148301295,-695092418515] |
[a1,a2,a3,a4,a6] |
Generators |
[6563795:1456085963:125] |
Generators of the group modulo torsion |
j |
-18325981824498528095274723/9093364399144960 |
j-invariant |
L |
1.9669684875606 |
L(r)(E,1)/r! |
Ω |
0.021631334347601 |
Real period |
R |
11.366430613834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46530s1 |
Quadratic twists by: -3 |