Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19800d |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
30071250000 = 24 · 37 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12450,534625] |
[a1,a2,a3,a4,a6] |
j |
1171019776/165 |
j-invariant |
L |
2.2695140480655 |
L(r)(E,1)/r! |
Ω |
1.1347570240327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39600x1 6600bc1 3960n1 |
Quadratic twists by: -4 -3 5 |