Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6390r |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1099033214976000000 = -1 · 224 · 310 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13823987,19786790099] |
[a1,a2,a3,a4,a6] |
j |
-400770830496236396186089/1507590144000000 |
j-invariant |
L |
3.8676480398119 |
L(r)(E,1)/r! |
Ω |
0.24172800248825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
51120br3 2130f3 31950p3 |
Quadratic twists by: -4 -3 5 |