Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440k |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
69605649000000 = 26 · 38 · 56 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10770,158400] |
[a1,a2,a3,a4,a6] |
j |
2158893266958784/1087588265625 |
j-invariant |
L |
1.6361901585703 |
L(r)(E,1)/r! |
Ω |
0.54539671956454 |
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 |
49440e1 98880s2 |
Quadratic twists by: -4 8 |