Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540y |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-144200683593750000 = -1 · 24 · 3 · 515 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109286,-22996611] |
[a1,a2,a3,a4,a6] |
j |
-3757587781421824/3753662109375 |
j-invariant |
L |
3.4074381507949 |
L(r)(E,1)/r! |
Ω |
0.1262014210309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540m2 |
Quadratic twists by: -7 |