Atkin-Lehner |
2+ 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440f |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13984306885504000 = 210 · 53 · 23 · 416 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84307,-7510206] |
[a1,a2,a3,a4,a6] |
j |
64716446413703844/13656549692875 |
j-invariant |
L |
3.4122712487661 |
L(r)(E,1)/r! |
Ω |
0.28435593474632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720h2 |
Quadratic twists by: -4 |