Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840k |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-13835008000000 = -1 · 214 · 56 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11+ 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5995,8525] |
[a1,a2,a3,a4,a6] |
j |
1454115454976/844421875 |
j-invariant |
L |
2.5475393181034 |
L(r)(E,1)/r! |
Ω |
0.4245898861751 |
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 |
59840bm2 3740b2 |
Quadratic twists by: -4 8 |