Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818j |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1.5728517188484E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12345486,-16686042560] |
[a1,a2,a3,a4,a6] |
Generators |
[404942:90677545:8] |
Generators of the group modulo torsion |
j |
12252350945517625/9261023232 |
j-invariant |
L |
2.9619004504021 |
L(r)(E,1)/r! |
Ω |
0.080545673323931 |
Real period |
R |
12.257643513188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818bb2 |
Quadratic twists by: -19 |