Atkin-Lehner |
2+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050d |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
5.83172096E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -6 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2547026,-1521041052] |
[a1,a2,a3,a4,a6] |
j |
116950902015977207569/3732301414400000 |
j-invariant |
L |
0.47896098594665 |
L(r)(E,1)/r! |
Ω |
0.11974024648667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810g1 |
Quadratic twists by: 5 |