Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ek |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-15061903105536000 = -1 · 212 · 36 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61152,993328] |
[a1,a2,a3,a4,a6] |
j |
71991296/42875 |
j-invariant |
L |
0.48118010979121 |
L(r)(E,1)/r! |
Ω |
0.24059005490393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2205g2 3920bc2 5040bk2 |
Quadratic twists by: -4 -3 -7 |