Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424m |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
3.0885092508228E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9450657,-11176210143] |
[a1,a2,a3,a4,a6] |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
1.5499410430641 |
L(r)(E,1)/r! |
Ω |
0.086107835739122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424cx1 1482d1 |
Quadratic twists by: -4 8 |